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Finding the Fourth Proportional to 2,578.81, 3,545.08 and 2,218.59

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Solution

The fourth proportional to 2,578.81, 3,545.08 and 2,218.59 is: 3,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.81 : 3,545.08 = 2,218.59 : x
  2. Step 2: Convert to fraction form
    2,578.81/3,545.08 = 2,218.59/x
  3. Step 3: Cross multiply
    2,578.81x = 3,545.08 × 2,218.59
  4. Step 4: Simplify right side
    2,578.81x = 7,865,059.08
  5. Step 5: Solve for x
    x = 7,865,059.08/2,578.81
  6. Step 6: Final answer
    x = 3,049.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.