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Finding the Fourth Proportional to 2,576.95, 3,832.35 and 2,494.94

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Solution

The fourth proportional to 2,576.95, 3,832.35 and 2,494.94 is: 3,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.95 : 3,832.35 = 2,494.94 : x
  2. Step 2: Convert to fraction form
    2,576.95/3,832.35 = 2,494.94/x
  3. Step 3: Cross multiply
    2,576.95x = 3,832.35 × 2,494.94
  4. Step 4: Simplify right side
    2,576.95x = 9,561,454.79
  5. Step 5: Solve for x
    x = 9,561,454.79/2,576.95
  6. Step 6: Final answer
    x = 3,710.38

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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.