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Finding the Fourth Proportional to 2,545.68, 3,512.58 and 1,426.66

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Solution

The fourth proportional to 2,545.68, 3,512.58 and 1,426.66 is: 1,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.68 : 3,512.58 = 1,426.66 : x
  2. Step 2: Convert to fraction form
    2,545.68/3,512.58 = 1,426.66/x
  3. Step 3: Cross multiply
    2,545.68x = 3,512.58 × 1,426.66
  4. Step 4: Simplify right side
    2,545.68x = 5,011,257.38
  5. Step 5: Solve for x
    x = 5,011,257.38/2,545.68
  6. Step 6: Final answer
    x = 1,968.53

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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.