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Finding the Fourth Proportional to 2,382.30, 3,281.66 and 2,265.66

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Solution

The fourth proportional to 2,382.30, 3,281.66 and 2,265.66 is: 3,120.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.30 : 3,281.66 = 2,265.66 : x
  2. Step 2: Convert to fraction form
    2,382.30/3,281.66 = 2,265.66/x
  3. Step 3: Cross multiply
    2,382.30x = 3,281.66 × 2,265.66
  4. Step 4: Simplify right side
    2,382.30x = 7,435,114.47
  5. Step 5: Solve for x
    x = 7,435,114.47/2,382.30
  6. Step 6: Final answer
    x = 3,120.98

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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.