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Finding the Fourth Proportional to 3,363.44, 5,042.20 and 1,310

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Solution

The fourth proportional to 3,363.44, 5,042.20 and 1,310 is: 1,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.44 : 5,042.20 = 1,310 : x
  2. Step 2: Convert to fraction form
    3,363.44/5,042.20 = 1,310/x
  3. Step 3: Cross multiply
    3,363.44x = 5,042.20 × 1,310
  4. Step 4: Simplify right side
    3,363.44x = 6,605,282
  5. Step 5: Solve for x
    x = 6,605,282/3,363.44
  6. Step 6: Final answer
    x = 1,963.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.