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Finding the Fourth Proportional to 2,693.92, 3,717 and 1,631.68

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Solution

The fourth proportional to 2,693.92, 3,717 and 1,631.68 is: 2,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.92 : 3,717 = 1,631.68 : x
  2. Step 2: Convert to fraction form
    2,693.92/3,717 = 1,631.68/x
  3. Step 3: Cross multiply
    2,693.92x = 3,717 × 1,631.68
  4. Step 4: Simplify right side
    2,693.92x = 6,064,954.56
  5. Step 5: Solve for x
    x = 6,064,954.56/2,693.92
  6. Step 6: Final answer
    x = 2,251.35

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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.