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Finding the Fourth Proportional to 2,545.72, 3,508.32 and 2,041

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Solution

The fourth proportional to 2,545.72, 3,508.32 and 2,041 is: 2,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.72 : 3,508.32 = 2,041 : x
  2. Step 2: Convert to fraction form
    2,545.72/3,508.32 = 2,041/x
  3. Step 3: Cross multiply
    2,545.72x = 3,508.32 × 2,041
  4. Step 4: Simplify right side
    2,545.72x = 7,160,481.12
  5. Step 5: Solve for x
    x = 7,160,481.12/2,545.72
  6. Step 6: Final answer
    x = 2,812.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.