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Finding the Fourth Proportional to 1,393.61, 2,087.17 and 1,174.91

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Solution

The fourth proportional to 1,393.61, 2,087.17 and 1,174.91 is: 1,759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.61 : 2,087.17 = 1,174.91 : x
  2. Step 2: Convert to fraction form
    1,393.61/2,087.17 = 1,174.91/x
  3. Step 3: Cross multiply
    1,393.61x = 2,087.17 × 1,174.91
  4. Step 4: Simplify right side
    1,393.61x = 2,452,223.53
  5. Step 5: Solve for x
    x = 2,452,223.53/1,393.61
  6. Step 6: Final answer
    x = 1,759.63

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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.