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Finding the Fourth Proportional to 3,182.90, 4,772.03 and 2,140.31

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Solution

The fourth proportional to 3,182.90, 4,772.03 and 2,140.31 is: 3,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.90 : 4,772.03 = 2,140.31 : x
  2. Step 2: Convert to fraction form
    3,182.90/4,772.03 = 2,140.31/x
  3. Step 3: Cross multiply
    3,182.90x = 4,772.03 × 2,140.31
  4. Step 4: Simplify right side
    3,182.90x = 10,213,588.97
  5. Step 5: Solve for x
    x = 10,213,588.97/3,182.90
  6. Step 6: Final answer
    x = 3,208.90

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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.