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Finding the Fourth Proportional to 2,545.08, 3,817.34 and 813.48

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Solution

The fourth proportional to 2,545.08, 3,817.34 and 813.48 is: 1,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.08 : 3,817.34 = 813.48 : x
  2. Step 2: Convert to fraction form
    2,545.08/3,817.34 = 813.48/x
  3. Step 3: Cross multiply
    2,545.08x = 3,817.34 × 813.48
  4. Step 4: Simplify right side
    2,545.08x = 3,105,329.74
  5. Step 5: Solve for x
    x = 3,105,329.74/2,545.08
  6. Step 6: Final answer
    x = 1,220.13

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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.