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Finding the Fourth Proportional to 1,462.28, 2,193.53 and 731.03

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Solution

The fourth proportional to 1,462.28, 2,193.53 and 731.03 is: 1,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.28 : 2,193.53 = 731.03 : x
  2. Step 2: Convert to fraction form
    1,462.28/2,193.53 = 731.03/x
  3. Step 3: Cross multiply
    1,462.28x = 2,193.53 × 731.03
  4. Step 4: Simplify right side
    1,462.28x = 1,603,521.61
  5. Step 5: Solve for x
    x = 1,603,521.61/1,462.28
  6. Step 6: Final answer
    x = 1,096.59

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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.