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Finding the Fourth Proportional to 3,429.76, 4,732.80 and 2,032.64

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Solution

The fourth proportional to 3,429.76, 4,732.80 and 2,032.64 is: 2,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.76 : 4,732.80 = 2,032.64 : x
  2. Step 2: Convert to fraction form
    3,429.76/4,732.80 = 2,032.64/x
  3. Step 3: Cross multiply
    3,429.76x = 4,732.80 × 2,032.64
  4. Step 4: Simplify right side
    3,429.76x = 9,620,078.59
  5. Step 5: Solve for x
    x = 9,620,078.59/3,429.76
  6. Step 6: Final answer
    x = 2,804.88

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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.