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Finding the Fourth Proportional to 2,576.78, 3,555.98 and 1,397.86

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Solution

The fourth proportional to 2,576.78, 3,555.98 and 1,397.86 is: 1,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.78 : 3,555.98 = 1,397.86 : x
  2. Step 2: Convert to fraction form
    2,576.78/3,555.98 = 1,397.86/x
  3. Step 3: Cross multiply
    2,576.78x = 3,555.98 × 1,397.86
  4. Step 4: Simplify right side
    2,576.78x = 4,970,764.90
  5. Step 5: Solve for x
    x = 4,970,764.90/2,576.78
  6. Step 6: Final answer
    x = 1,929.06

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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.