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Finding the Fourth Proportional to 2,288.98, 3,454.09 and 2,207.62

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Solution

The fourth proportional to 2,288.98, 3,454.09 and 2,207.62 is: 3,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.98 : 3,454.09 = 2,207.62 : x
  2. Step 2: Convert to fraction form
    2,288.98/3,454.09 = 2,207.62/x
  3. Step 3: Cross multiply
    2,288.98x = 3,454.09 × 2,207.62
  4. Step 4: Simplify right side
    2,288.98x = 7,625,318.17
  5. Step 5: Solve for x
    x = 7,625,318.17/2,288.98
  6. Step 6: Final answer
    x = 3,331.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.