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Finding the Fourth Proportional to 2,576.68, 3,555.76 and 1,397.72

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Solution

The fourth proportional to 2,576.68, 3,555.76 and 1,397.72 is: 1,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.68 : 3,555.76 = 1,397.72 : x
  2. Step 2: Convert to fraction form
    2,576.68/3,555.76 = 1,397.72/x
  3. Step 3: Cross multiply
    2,576.68x = 3,555.76 × 1,397.72
  4. Step 4: Simplify right side
    2,576.68x = 4,969,956.87
  5. Step 5: Solve for x
    x = 4,969,956.87/2,576.68
  6. Step 6: Final answer
    x = 1,928.82

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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.