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Finding the Fourth Proportional to 2,281.92, 3,140.01 and 2,224.68

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Solution

The fourth proportional to 2,281.92, 3,140.01 and 2,224.68 is: 3,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.92 : 3,140.01 = 2,224.68 : x
  2. Step 2: Convert to fraction form
    2,281.92/3,140.01 = 2,224.68/x
  3. Step 3: Cross multiply
    2,281.92x = 3,140.01 × 2,224.68
  4. Step 4: Simplify right side
    2,281.92x = 6,985,517.45
  5. Step 5: Solve for x
    x = 6,985,517.45/2,281.92
  6. Step 6: Final answer
    x = 3,061.25

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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.