Home / 1,614.24-2,421.20-748.54

Finding the Fourth Proportional to 1,614.24, 2,421.20 and 748.54

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Solution

The fourth proportional to 1,614.24, 2,421.20 and 748.54 is: 1,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.24 : 2,421.20 = 748.54 : x
  2. Step 2: Convert to fraction form
    1,614.24/2,421.20 = 748.54/x
  3. Step 3: Cross multiply
    1,614.24x = 2,421.20 × 748.54
  4. Step 4: Simplify right side
    1,614.24x = 1,812,365.05
  5. Step 5: Solve for x
    x = 1,812,365.05/1,614.24
  6. Step 6: Final answer
    x = 1,122.74

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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.