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Finding the Fourth Proportional to 1,615.17, 2,423.37 and 748.89

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Solution

The fourth proportional to 1,615.17, 2,423.37 and 748.89 is: 1,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.17 : 2,423.37 = 748.89 : x
  2. Step 2: Convert to fraction form
    1,615.17/2,423.37 = 748.89/x
  3. Step 3: Cross multiply
    1,615.17x = 2,423.37 × 748.89
  4. Step 4: Simplify right side
    1,615.17x = 1,814,837.56
  5. Step 5: Solve for x
    x = 1,814,837.56/1,615.17
  6. Step 6: Final answer
    x = 1,123.62

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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.