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Finding the Fourth Proportional to 2,783.13, 4,171.73 and 932.55

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Solution

The fourth proportional to 2,783.13, 4,171.73 and 932.55 is: 1,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.13 : 4,171.73 = 932.55 : x
  2. Step 2: Convert to fraction form
    2,783.13/4,171.73 = 932.55/x
  3. Step 3: Cross multiply
    2,783.13x = 4,171.73 × 932.55
  4. Step 4: Simplify right side
    2,783.13x = 3,890,342.15
  5. Step 5: Solve for x
    x = 3,890,342.15/2,783.13
  6. Step 6: Final answer
    x = 1,397.83

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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.