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Finding the Fourth Proportional to 2,362.31, 3,542.30 and 1,375.46

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Solution

The fourth proportional to 2,362.31, 3,542.30 and 1,375.46 is: 2,062.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.31 : 3,542.30 = 1,375.46 : x
  2. Step 2: Convert to fraction form
    2,362.31/3,542.30 = 1,375.46/x
  3. Step 3: Cross multiply
    2,362.31x = 3,542.30 × 1,375.46
  4. Step 4: Simplify right side
    2,362.31x = 4,872,267.37
  5. Step 5: Solve for x
    x = 4,872,267.37/2,362.31
  6. Step 6: Final answer
    x = 2,062.51

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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.