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Finding the Fourth Proportional to 3,191.18, 4,403.88 and 1,932.22

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Solution

The fourth proportional to 3,191.18, 4,403.88 and 1,932.22 is: 2,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.18 : 4,403.88 = 1,932.22 : x
  2. Step 2: Convert to fraction form
    3,191.18/4,403.88 = 1,932.22/x
  3. Step 3: Cross multiply
    3,191.18x = 4,403.88 × 1,932.22
  4. Step 4: Simplify right side
    3,191.18x = 8,509,265.01
  5. Step 5: Solve for x
    x = 8,509,265.01/3,191.18
  6. Step 6: Final answer
    x = 2,666.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.