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Finding the Fourth Proportional to 3,232.47, 4,459.14 and 2,052.30

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Solution

The fourth proportional to 3,232.47, 4,459.14 and 2,052.30 is: 2,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.47 : 4,459.14 = 2,052.30 : x
  2. Step 2: Convert to fraction form
    3,232.47/4,459.14 = 2,052.30/x
  3. Step 3: Cross multiply
    3,232.47x = 4,459.14 × 2,052.30
  4. Step 4: Simplify right side
    3,232.47x = 9,151,493.02
  5. Step 5: Solve for x
    x = 9,151,493.02/3,232.47
  6. Step 6: Final answer
    x = 2,831.11

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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.