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Finding the Fourth Proportional to 3,441.76, 4,750.84 and 2,044.50

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Solution

The fourth proportional to 3,441.76, 4,750.84 and 2,044.50 is: 2,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.76 : 4,750.84 = 2,044.50 : x
  2. Step 2: Convert to fraction form
    3,441.76/4,750.84 = 2,044.50/x
  3. Step 3: Cross multiply
    3,441.76x = 4,750.84 × 2,044.50
  4. Step 4: Simplify right side
    3,441.76x = 9,713,092.38
  5. Step 5: Solve for x
    x = 9,713,092.38/3,441.76
  6. Step 6: Final answer
    x = 2,822.13

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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.