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Finding the Fourth Proportional to 2,614.71, 3,607.74 and 1,552.50

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Solution

The fourth proportional to 2,614.71, 3,607.74 and 1,552.50 is: 2,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.71 : 3,607.74 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    2,614.71/3,607.74 = 1,552.50/x
  3. Step 3: Cross multiply
    2,614.71x = 3,607.74 × 1,552.50
  4. Step 4: Simplify right side
    2,614.71x = 5,601,016.35
  5. Step 5: Solve for x
    x = 5,601,016.35/2,614.71
  6. Step 6: Final answer
    x = 2,142.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.