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Finding the Fourth Proportional to 3,112.90, 4,672.23 and 1,382.02

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Solution

The fourth proportional to 3,112.90, 4,672.23 and 1,382.02 is: 2,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.90 : 4,672.23 = 1,382.02 : x
  2. Step 2: Convert to fraction form
    3,112.90/4,672.23 = 1,382.02/x
  3. Step 3: Cross multiply
    3,112.90x = 4,672.23 × 1,382.02
  4. Step 4: Simplify right side
    3,112.90x = 6,457,115.30
  5. Step 5: Solve for x
    x = 6,457,115.30/3,112.90
  6. Step 6: Final answer
    x = 2,074.31

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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.