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Finding the Fourth Proportional to 3,071.50, 4,607.97 and 1,019.50

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Solution

The fourth proportional to 3,071.50, 4,607.97 and 1,019.50 is: 1,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.50 : 4,607.97 = 1,019.50 : x
  2. Step 2: Convert to fraction form
    3,071.50/4,607.97 = 1,019.50/x
  3. Step 3: Cross multiply
    3,071.50x = 4,607.97 × 1,019.50
  4. Step 4: Simplify right side
    3,071.50x = 4,697,825.42
  5. Step 5: Solve for x
    x = 4,697,825.42/3,071.50
  6. Step 6: Final answer
    x = 1,529.49

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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.