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Finding the Fourth Proportional to 2,545.46, 3,512.49 and 1,426.31

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Solution

The fourth proportional to 2,545.46, 3,512.49 and 1,426.31 is: 1,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.46 : 3,512.49 = 1,426.31 : x
  2. Step 2: Convert to fraction form
    2,545.46/3,512.49 = 1,426.31/x
  3. Step 3: Cross multiply
    2,545.46x = 3,512.49 × 1,426.31
  4. Step 4: Simplify right side
    2,545.46x = 5,009,899.61
  5. Step 5: Solve for x
    x = 5,009,899.61/2,545.46
  6. Step 6: Final answer
    x = 1,968.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.