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Finding the Fourth Proportional to 2,361.32, 3,542.14 and 1,062.92

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Solution

The fourth proportional to 2,361.32, 3,542.14 and 1,062.92 is: 1,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.32 : 3,542.14 = 1,062.92 : x
  2. Step 2: Convert to fraction form
    2,361.32/3,542.14 = 1,062.92/x
  3. Step 3: Cross multiply
    2,361.32x = 3,542.14 × 1,062.92
  4. Step 4: Simplify right side
    2,361.32x = 3,765,011.45
  5. Step 5: Solve for x
    x = 3,765,011.45/2,361.32
  6. Step 6: Final answer
    x = 1,594.45

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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.