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Finding the Fourth Proportional to 2,545.67, 3,513 and 1,426.66

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Solution

The fourth proportional to 2,545.67, 3,513 and 1,426.66 is: 1,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.67 : 3,513 = 1,426.66 : x
  2. Step 2: Convert to fraction form
    2,545.67/3,513 = 1,426.66/x
  3. Step 3: Cross multiply
    2,545.67x = 3,513 × 1,426.66
  4. Step 4: Simplify right side
    2,545.67x = 5,011,847.80
  5. Step 5: Solve for x
    x = 5,011,847.80/2,545.67
  6. Step 6: Final answer
    x = 1,968.77

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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.