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Finding the Fourth Proportional to 1,773.16, 2,658.69 and 731.99

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Solution

The fourth proportional to 1,773.16, 2,658.69 and 731.99 is: 1,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.16 : 2,658.69 = 731.99 : x
  2. Step 2: Convert to fraction form
    1,773.16/2,658.69 = 731.99/x
  3. Step 3: Cross multiply
    1,773.16x = 2,658.69 × 731.99
  4. Step 4: Simplify right side
    1,773.16x = 1,946,141.14
  5. Step 5: Solve for x
    x = 1,946,141.14/1,773.16
  6. Step 6: Final answer
    x = 1,097.56

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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.