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Finding the Fourth Proportional to 2,269.13, 3,397.94 and 1,812.17

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Solution

The fourth proportional to 2,269.13, 3,397.94 and 1,812.17 is: 2,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.13 : 3,397.94 = 1,812.17 : x
  2. Step 2: Convert to fraction form
    2,269.13/3,397.94 = 1,812.17/x
  3. Step 3: Cross multiply
    2,269.13x = 3,397.94 × 1,812.17
  4. Step 4: Simplify right side
    2,269.13x = 6,157,635.87
  5. Step 5: Solve for x
    x = 6,157,635.87/2,269.13
  6. Step 6: Final answer
    x = 2,713.65

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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.