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Finding the Fourth Proportional to 2,562.66, 3,847.64 and 2,428.20

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Solution

The fourth proportional to 2,562.66, 3,847.64 and 2,428.20 is: 3,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.66 : 3,847.64 = 2,428.20 : x
  2. Step 2: Convert to fraction form
    2,562.66/3,847.64 = 2,428.20/x
  3. Step 3: Cross multiply
    2,562.66x = 3,847.64 × 2,428.20
  4. Step 4: Simplify right side
    2,562.66x = 9,342,827.31
  5. Step 5: Solve for x
    x = 9,342,827.31/2,562.66
  6. Step 6: Final answer
    x = 3,645.75

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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.