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Finding the Fourth Proportional to 3,449.92, 4,760.40 and 2,052.16

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Solution

The fourth proportional to 3,449.92, 4,760.40 and 2,052.16 is: 2,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.92 : 4,760.40 = 2,052.16 : x
  2. Step 2: Convert to fraction form
    3,449.92/4,760.40 = 2,052.16/x
  3. Step 3: Cross multiply
    3,449.92x = 4,760.40 × 2,052.16
  4. Step 4: Simplify right side
    3,449.92x = 9,769,102.46
  5. Step 5: Solve for x
    x = 9,769,102.46/3,449.92
  6. Step 6: Final answer
    x = 2,831.69

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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.