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Finding the Fourth Proportional to 3,071.49, 4,607.96 and 880.17

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Solution

The fourth proportional to 3,071.49, 4,607.96 and 880.17 is: 1,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.49 : 4,607.96 = 880.17 : x
  2. Step 2: Convert to fraction form
    3,071.49/4,607.96 = 880.17/x
  3. Step 3: Cross multiply
    3,071.49x = 4,607.96 × 880.17
  4. Step 4: Simplify right side
    3,071.49x = 4,055,766.47
  5. Step 5: Solve for x
    x = 4,055,766.47/3,071.49
  6. Step 6: Final answer
    x = 1,320.46

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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.