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Finding the Fourth Proportional to 2,362.75, 3,542.97 and 1,426.66

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Solution

The fourth proportional to 2,362.75, 3,542.97 and 1,426.66 is: 2,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.75 : 3,542.97 = 1,426.66 : x
  2. Step 2: Convert to fraction form
    2,362.75/3,542.97 = 1,426.66/x
  3. Step 3: Cross multiply
    2,362.75x = 3,542.97 × 1,426.66
  4. Step 4: Simplify right side
    2,362.75x = 5,054,613.58
  5. Step 5: Solve for x
    x = 5,054,613.58/2,362.75
  6. Step 6: Final answer
    x = 2,139.29

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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.