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Finding the Fourth Proportional to 2,712.93, 4,073.09 and 1,397.76

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Solution

The fourth proportional to 2,712.93, 4,073.09 and 1,397.76 is: 2,098.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.93 : 4,073.09 = 1,397.76 : x
  2. Step 2: Convert to fraction form
    2,712.93/4,073.09 = 1,397.76/x
  3. Step 3: Cross multiply
    2,712.93x = 4,073.09 × 1,397.76
  4. Step 4: Simplify right side
    2,712.93x = 5,693,202.28
  5. Step 5: Solve for x
    x = 5,693,202.28/2,712.93
  6. Step 6: Final answer
    x = 2,098.54

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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.