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Finding the Fourth Proportional to 2,512.98, 3,470.94 and 2,197.44

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Solution

The fourth proportional to 2,512.98, 3,470.94 and 2,197.44 is: 3,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.98 : 3,470.94 = 2,197.44 : x
  2. Step 2: Convert to fraction form
    2,512.98/3,470.94 = 2,197.44/x
  3. Step 3: Cross multiply
    2,512.98x = 3,470.94 × 2,197.44
  4. Step 4: Simplify right side
    2,512.98x = 7,627,182.39
  5. Step 5: Solve for x
    x = 7,627,182.39/2,512.98
  6. Step 6: Final answer
    x = 3,035.11

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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.