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Finding the Fourth Proportional to 2,576.62, 3,555.78 and 1,397.74

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Solution

The fourth proportional to 2,576.62, 3,555.78 and 1,397.74 is: 1,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.62 : 3,555.78 = 1,397.74 : x
  2. Step 2: Convert to fraction form
    2,576.62/3,555.78 = 1,397.74/x
  3. Step 3: Cross multiply
    2,576.62x = 3,555.78 × 1,397.74
  4. Step 4: Simplify right side
    2,576.62x = 4,970,055.94
  5. Step 5: Solve for x
    x = 4,970,055.94/2,576.62
  6. Step 6: Final answer
    x = 1,928.91

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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.