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Finding the Fourth Proportional to 2,387.72, 3,581.84 and 656.34

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Solution

The fourth proportional to 2,387.72, 3,581.84 and 656.34 is: 984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.72 : 3,581.84 = 656.34 : x
  2. Step 2: Convert to fraction form
    2,387.72/3,581.84 = 656.34/x
  3. Step 3: Cross multiply
    2,387.72x = 3,581.84 × 656.34
  4. Step 4: Simplify right side
    2,387.72x = 2,350,901.58
  5. Step 5: Solve for x
    x = 2,350,901.58/2,387.72
  6. Step 6: Final answer
    x = 984.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.