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Finding the Fourth Proportional to 3,342.80, 4,610.67 and 2,223.17

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Solution

The fourth proportional to 3,342.80, 4,610.67 and 2,223.17 is: 3,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.80 : 4,610.67 = 2,223.17 : x
  2. Step 2: Convert to fraction form
    3,342.80/4,610.67 = 2,223.17/x
  3. Step 3: Cross multiply
    3,342.80x = 4,610.67 × 2,223.17
  4. Step 4: Simplify right side
    3,342.80x = 10,250,306.41
  5. Step 5: Solve for x
    x = 10,250,306.41/3,342.80
  6. Step 6: Final answer
    x = 3,066.39

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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.