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Finding the Fourth Proportional to 2,292.02, 3,438.28 and 731.66

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Solution

The fourth proportional to 2,292.02, 3,438.28 and 731.66 is: 1,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.02 : 3,438.28 = 731.66 : x
  2. Step 2: Convert to fraction form
    2,292.02/3,438.28 = 731.66/x
  3. Step 3: Cross multiply
    2,292.02x = 3,438.28 × 731.66
  4. Step 4: Simplify right side
    2,292.02x = 2,515,651.94
  5. Step 5: Solve for x
    x = 2,515,651.94/2,292.02
  6. Step 6: Final answer
    x = 1,097.57

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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.