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Finding the Fourth Proportional to 2,576.34, 3,834.90 and 2,456.82

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Solution

The fourth proportional to 2,576.34, 3,834.90 and 2,456.82 is: 3,656.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.34 : 3,834.90 = 2,456.82 : x
  2. Step 2: Convert to fraction form
    2,576.34/3,834.90 = 2,456.82/x
  3. Step 3: Cross multiply
    2,576.34x = 3,834.90 × 2,456.82
  4. Step 4: Simplify right side
    2,576.34x = 9,421,659.02
  5. Step 5: Solve for x
    x = 9,421,659.02/2,576.34
  6. Step 6: Final answer
    x = 3,656.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.