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Finding the Fourth Proportional to 2,472.80, 3,394.30 and 2,186.78

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Solution

The fourth proportional to 2,472.80, 3,394.30 and 2,186.78 is: 3,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.80 : 3,394.30 = 2,186.78 : x
  2. Step 2: Convert to fraction form
    2,472.80/3,394.30 = 2,186.78/x
  3. Step 3: Cross multiply
    2,472.80x = 3,394.30 × 2,186.78
  4. Step 4: Simplify right side
    2,472.80x = 7,422,587.35
  5. Step 5: Solve for x
    x = 7,422,587.35/2,472.80
  6. Step 6: Final answer
    x = 3,001.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.