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Finding the Fourth Proportional to 2,569.41, 3,857.76 and 2,451.96

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Solution

The fourth proportional to 2,569.41, 3,857.76 and 2,451.96 is: 3,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.41 : 3,857.76 = 2,451.96 : x
  2. Step 2: Convert to fraction form
    2,569.41/3,857.76 = 2,451.96/x
  3. Step 3: Cross multiply
    2,569.41x = 3,857.76 × 2,451.96
  4. Step 4: Simplify right side
    2,569.41x = 9,459,073.21
  5. Step 5: Solve for x
    x = 9,459,073.21/2,569.41
  6. Step 6: Final answer
    x = 3,681.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.