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Finding the Fourth Proportional to 3,040.70, 4,196.20 and 1,781.48

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Solution

The fourth proportional to 3,040.70, 4,196.20 and 1,781.48 is: 2,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.70 : 4,196.20 = 1,781.48 : x
  2. Step 2: Convert to fraction form
    3,040.70/4,196.20 = 1,781.48/x
  3. Step 3: Cross multiply
    3,040.70x = 4,196.20 × 1,781.48
  4. Step 4: Simplify right side
    3,040.70x = 7,475,446.38
  5. Step 5: Solve for x
    x = 7,475,446.38/3,040.70
  6. Step 6: Final answer
    x = 2,458.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.