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Finding the Fourth Proportional to 1,462.89, 2,194.30 and 731.93

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Solution

The fourth proportional to 1,462.89, 2,194.30 and 731.93 is: 1,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.89 : 2,194.30 = 731.93 : x
  2. Step 2: Convert to fraction form
    1,462.89/2,194.30 = 731.93/x
  3. Step 3: Cross multiply
    1,462.89x = 2,194.30 × 731.93
  4. Step 4: Simplify right side
    1,462.89x = 1,606,080.40
  5. Step 5: Solve for x
    x = 1,606,080.40/1,462.89
  6. Step 6: Final answer
    x = 1,097.88

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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.