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Finding the Fourth Proportional to 3,402.94, 4,693.50 and 2,285.14

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Solution

The fourth proportional to 3,402.94, 4,693.50 and 2,285.14 is: 3,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.94 : 4,693.50 = 2,285.14 : x
  2. Step 2: Convert to fraction form
    3,402.94/4,693.50 = 2,285.14/x
  3. Step 3: Cross multiply
    3,402.94x = 4,693.50 × 2,285.14
  4. Step 4: Simplify right side
    3,402.94x = 10,725,304.59
  5. Step 5: Solve for x
    x = 10,725,304.59/3,402.94
  6. Step 6: Final answer
    x = 3,151.78

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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.