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Finding the Fourth Proportional to 4,193.52, 6,291 and 1,232.40

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Solution

The fourth proportional to 4,193.52, 6,291 and 1,232.40 is: 1,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.52 : 6,291 = 1,232.40 : x
  2. Step 2: Convert to fraction form
    4,193.52/6,291 = 1,232.40/x
  3. Step 3: Cross multiply
    4,193.52x = 6,291 × 1,232.40
  4. Step 4: Simplify right side
    4,193.52x = 7,753,028.40
  5. Step 5: Solve for x
    x = 7,753,028.40/4,193.52
  6. Step 6: Final answer
    x = 1,848.81

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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.