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Finding the Fourth Proportional to 1,339.38, 1,999.13 and 1,153.49

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Solution

The fourth proportional to 1,339.38, 1,999.13 and 1,153.49 is: 1,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.38 : 1,999.13 = 1,153.49 : x
  2. Step 2: Convert to fraction form
    1,339.38/1,999.13 = 1,153.49/x
  3. Step 3: Cross multiply
    1,339.38x = 1,999.13 × 1,153.49
  4. Step 4: Simplify right side
    1,339.38x = 2,305,960.70
  5. Step 5: Solve for x
    x = 2,305,960.70/1,339.38
  6. Step 6: Final answer
    x = 1,721.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.