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Finding the Fourth Proportional to 3,241.77, 4,470.30 and 2,178.38

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Solution

The fourth proportional to 3,241.77, 4,470.30 and 2,178.38 is: 3,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.77 : 4,470.30 = 2,178.38 : x
  2. Step 2: Convert to fraction form
    3,241.77/4,470.30 = 2,178.38/x
  3. Step 3: Cross multiply
    3,241.77x = 4,470.30 × 2,178.38
  4. Step 4: Simplify right side
    3,241.77x = 9,738,012.11
  5. Step 5: Solve for x
    x = 9,738,012.11/3,241.77
  6. Step 6: Final answer
    x = 3,003.92

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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.