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Finding the Fourth Proportional to 3,114.40, 4,285.12 and 2,693.40

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Solution

The fourth proportional to 3,114.40, 4,285.12 and 2,693.40 is: 3,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.40 : 4,285.12 = 2,693.40 : x
  2. Step 2: Convert to fraction form
    3,114.40/4,285.12 = 2,693.40/x
  3. Step 3: Cross multiply
    3,114.40x = 4,285.12 × 2,693.40
  4. Step 4: Simplify right side
    3,114.40x = 11,541,542.21
  5. Step 5: Solve for x
    x = 11,541,542.21/3,114.40
  6. Step 6: Final answer
    x = 3,705.86

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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.