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Finding the Fourth Proportional to 2,545.79, 3,813.71 and 1,209.68

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Solution

The fourth proportional to 2,545.79, 3,813.71 and 1,209.68 is: 1,812.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.79 : 3,813.71 = 1,209.68 : x
  2. Step 2: Convert to fraction form
    2,545.79/3,813.71 = 1,209.68/x
  3. Step 3: Cross multiply
    2,545.79x = 3,813.71 × 1,209.68
  4. Step 4: Simplify right side
    2,545.79x = 4,613,365.69
  5. Step 5: Solve for x
    x = 4,613,365.69/2,545.79
  6. Step 6: Final answer
    x = 1,812.16

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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.