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Finding the Fourth Proportional to 1,771.20, 2,658.78 and 1,587.24

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Solution

The fourth proportional to 1,771.20, 2,658.78 and 1,587.24 is: 2,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.20 : 2,658.78 = 1,587.24 : x
  2. Step 2: Convert to fraction form
    1,771.20/2,658.78 = 1,587.24/x
  3. Step 3: Cross multiply
    1,771.20x = 2,658.78 × 1,587.24
  4. Step 4: Simplify right side
    1,771.20x = 4,220,121.97
  5. Step 5: Solve for x
    x = 4,220,121.97/1,771.20
  6. Step 6: Final answer
    x = 2,382.63

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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.