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Finding the Fourth Proportional to 3,112.71, 4,295.45 and 1,768.24

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Solution

The fourth proportional to 3,112.71, 4,295.45 and 1,768.24 is: 2,440.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.71 : 4,295.45 = 1,768.24 : x
  2. Step 2: Convert to fraction form
    3,112.71/4,295.45 = 1,768.24/x
  3. Step 3: Cross multiply
    3,112.71x = 4,295.45 × 1,768.24
  4. Step 4: Simplify right side
    3,112.71x = 7,595,380.19
  5. Step 5: Solve for x
    x = 7,595,380.19/3,112.71
  6. Step 6: Final answer
    x = 2,440.12

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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.