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Finding the Fourth Proportional to 2,545.32, 3,818.61 and 813.95

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Solution

The fourth proportional to 2,545.32, 3,818.61 and 813.95 is: 1,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.32 : 3,818.61 = 813.95 : x
  2. Step 2: Convert to fraction form
    2,545.32/3,818.61 = 813.95/x
  3. Step 3: Cross multiply
    2,545.32x = 3,818.61 × 813.95
  4. Step 4: Simplify right side
    2,545.32x = 3,108,138.52
  5. Step 5: Solve for x
    x = 3,108,138.52/2,545.32
  6. Step 6: Final answer
    x = 1,221.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.