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Finding the Fourth Proportional to 2,281.77, 3,147.21 and 2,205.57

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Solution

The fourth proportional to 2,281.77, 3,147.21 and 2,205.57 is: 3,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.77 : 3,147.21 = 2,205.57 : x
  2. Step 2: Convert to fraction form
    2,281.77/3,147.21 = 2,205.57/x
  3. Step 3: Cross multiply
    2,281.77x = 3,147.21 × 2,205.57
  4. Step 4: Simplify right side
    2,281.77x = 6,941,391.96
  5. Step 5: Solve for x
    x = 6,941,391.96/2,281.77
  6. Step 6: Final answer
    x = 3,042.11

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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.