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Finding the Fourth Proportional to 3,071.40, 4,607.10 and 1,019.40

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Solution

The fourth proportional to 3,071.40, 4,607.10 and 1,019.40 is: 1,529.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.40 : 4,607.10 = 1,019.40 : x
  2. Step 2: Convert to fraction form
    3,071.40/4,607.10 = 1,019.40/x
  3. Step 3: Cross multiply
    3,071.40x = 4,607.10 × 1,019.40
  4. Step 4: Simplify right side
    3,071.40x = 4,696,477.74
  5. Step 5: Solve for x
    x = 4,696,477.74/3,071.40
  6. Step 6: Final answer
    x = 1,529.10

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.