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Finding the Fourth Proportional to 3,191.01, 4,403.69 and 1,932.30

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Solution

The fourth proportional to 3,191.01, 4,403.69 and 1,932.30 is: 2,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.01 : 4,403.69 = 1,932.30 : x
  2. Step 2: Convert to fraction form
    3,191.01/4,403.69 = 1,932.30/x
  3. Step 3: Cross multiply
    3,191.01x = 4,403.69 × 1,932.30
  4. Step 4: Simplify right side
    3,191.01x = 8,509,258.64
  5. Step 5: Solve for x
    x = 8,509,258.64/3,191.01
  6. Step 6: Final answer
    x = 2,666.63

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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.