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Finding the Fourth Proportional to 2,831.48, 4,239 and 1,732.49

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Solution

The fourth proportional to 2,831.48, 4,239 and 1,732.49 is: 2,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.48 : 4,239 = 1,732.49 : x
  2. Step 2: Convert to fraction form
    2,831.48/4,239 = 1,732.49/x
  3. Step 3: Cross multiply
    2,831.48x = 4,239 × 1,732.49
  4. Step 4: Simplify right side
    2,831.48x = 7,344,003.92
  5. Step 5: Solve for x
    x = 7,344,003.92/2,831.48
  6. Step 6: Final answer
    x = 2,593.70

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