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Finding the Fourth Proportional to 2,545.68, 3,817.80 and 813.84

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Solution

The fourth proportional to 2,545.68, 3,817.80 and 813.84 is: 1,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.68 : 3,817.80 = 813.84 : x
  2. Step 2: Convert to fraction form
    2,545.68/3,817.80 = 813.84/x
  3. Step 3: Cross multiply
    2,545.68x = 3,817.80 × 813.84
  4. Step 4: Simplify right side
    2,545.68x = 3,107,078.35
  5. Step 5: Solve for x
    x = 3,107,078.35/2,545.68
  6. Step 6: Final answer
    x = 1,220.53

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