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Finding the Fourth Proportional to 1,778.76, 2,456.46 and 1,515.24

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Solution

The fourth proportional to 1,778.76, 2,456.46 and 1,515.24 is: 2,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.76 : 2,456.46 = 1,515.24 : x
  2. Step 2: Convert to fraction form
    1,778.76/2,456.46 = 1,515.24/x
  3. Step 3: Cross multiply
    1,778.76x = 2,456.46 × 1,515.24
  4. Step 4: Simplify right side
    1,778.76x = 3,722,126.45
  5. Step 5: Solve for x
    x = 3,722,126.45/1,778.76
  6. Step 6: Final answer
    x = 2,092.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.