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Finding the Fourth Proportional to 1,532.52, 2,114.03 and 1,035.86

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Solution

The fourth proportional to 1,532.52, 2,114.03 and 1,035.86 is: 1,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.52 : 2,114.03 = 1,035.86 : x
  2. Step 2: Convert to fraction form
    1,532.52/2,114.03 = 1,035.86/x
  3. Step 3: Cross multiply
    1,532.52x = 2,114.03 × 1,035.86
  4. Step 4: Simplify right side
    1,532.52x = 2,189,831.14
  5. Step 5: Solve for x
    x = 2,189,831.14/1,532.52
  6. Step 6: Final answer
    x = 1,428.91

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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.