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Finding the Fourth Proportional to 2,387.92, 3,581.70 and 656.68

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Solution

The fourth proportional to 2,387.92, 3,581.70 and 656.68 is: 984.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.92 : 3,581.70 = 656.68 : x
  2. Step 2: Convert to fraction form
    2,387.92/3,581.70 = 656.68/x
  3. Step 3: Cross multiply
    2,387.92x = 3,581.70 × 656.68
  4. Step 4: Simplify right side
    2,387.92x = 2,352,030.76
  5. Step 5: Solve for x
    x = 2,352,030.76/2,387.92
  6. Step 6: Final answer
    x = 984.97

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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.