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Finding the Fourth Proportional to 4,194.55, 6,291.63 and 1,232.87

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Solution

The fourth proportional to 4,194.55, 6,291.63 and 1,232.87 is: 1,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.55 : 6,291.63 = 1,232.87 : x
  2. Step 2: Convert to fraction form
    4,194.55/6,291.63 = 1,232.87/x
  3. Step 3: Cross multiply
    4,194.55x = 6,291.63 × 1,232.87
  4. Step 4: Simplify right side
    4,194.55x = 7,756,761.88
  5. Step 5: Solve for x
    x = 7,756,761.88/4,194.55
  6. Step 6: Final answer
    x = 1,849.25

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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.