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Finding the Fourth Proportional to 1,722.11, 2,581.52 and 748.89

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Solution

The fourth proportional to 1,722.11, 2,581.52 and 748.89 is: 1,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.11 : 2,581.52 = 748.89 : x
  2. Step 2: Convert to fraction form
    1,722.11/2,581.52 = 748.89/x
  3. Step 3: Cross multiply
    1,722.11x = 2,581.52 × 748.89
  4. Step 4: Simplify right side
    1,722.11x = 1,933,270.77
  5. Step 5: Solve for x
    x = 1,933,270.77/1,722.11
  6. Step 6: Final answer
    x = 1,122.62

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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.