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Finding the Fourth Proportional to 2,232.59, 3,347.85 and 1,192.31

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Solution

The fourth proportional to 2,232.59, 3,347.85 and 1,192.31 is: 1,787.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.59 : 3,347.85 = 1,192.31 : x
  2. Step 2: Convert to fraction form
    2,232.59/3,347.85 = 1,192.31/x
  3. Step 3: Cross multiply
    2,232.59x = 3,347.85 × 1,192.31
  4. Step 4: Simplify right side
    2,232.59x = 3,991,675.03
  5. Step 5: Solve for x
    x = 3,991,675.03/2,232.59
  6. Step 6: Final answer
    x = 1,787.91

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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.