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Finding the Fourth Proportional to 2,545.75, 3,513.14 and 2,399.95

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Solution

The fourth proportional to 2,545.75, 3,513.14 and 2,399.95 is: 3,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.75 : 3,513.14 = 2,399.95 : x
  2. Step 2: Convert to fraction form
    2,545.75/3,513.14 = 2,399.95/x
  3. Step 3: Cross multiply
    2,545.75x = 3,513.14 × 2,399.95
  4. Step 4: Simplify right side
    2,545.75x = 8,431,360.34
  5. Step 5: Solve for x
    x = 8,431,360.34/2,545.75
  6. Step 6: Final answer
    x = 3,311.94

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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.