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Finding the Fourth Proportional to 1,614.14, 2,420.85 and 748.34

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Solution

The fourth proportional to 1,614.14, 2,420.85 and 748.34 is: 1,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.14 : 2,420.85 = 748.34 : x
  2. Step 2: Convert to fraction form
    1,614.14/2,420.85 = 748.34/x
  3. Step 3: Cross multiply
    1,614.14x = 2,420.85 × 748.34
  4. Step 4: Simplify right side
    1,614.14x = 1,811,618.89
  5. Step 5: Solve for x
    x = 1,811,618.89/1,614.14
  6. Step 6: Final answer
    x = 1,122.34

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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.