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Finding the Fourth Proportional to 2,576.52, 3,558.18 and 1,781.94

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Solution

The fourth proportional to 2,576.52, 3,558.18 and 1,781.94 is: 2,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.52 : 3,558.18 = 1,781.94 : x
  2. Step 2: Convert to fraction form
    2,576.52/3,558.18 = 1,781.94/x
  3. Step 3: Cross multiply
    2,576.52x = 3,558.18 × 1,781.94
  4. Step 4: Simplify right side
    2,576.52x = 6,340,463.27
  5. Step 5: Solve for x
    x = 6,340,463.27/2,576.52
  6. Step 6: Final answer
    x = 2,460.86

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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.