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Finding the Fourth Proportional to 1,581.85, 2,371.92 and 643.96

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Solution

The fourth proportional to 1,581.85, 2,371.92 and 643.96 is: 965.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.85 : 2,371.92 = 643.96 : x
  2. Step 2: Convert to fraction form
    1,581.85/2,371.92 = 643.96/x
  3. Step 3: Cross multiply
    1,581.85x = 2,371.92 × 643.96
  4. Step 4: Simplify right side
    1,581.85x = 1,527,421.60
  5. Step 5: Solve for x
    x = 1,527,421.60/1,581.85
  6. Step 6: Final answer
    x = 965.59

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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.