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Finding the Fourth Proportional to 1,743.54, 2,614.46 and 1,013.33

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Solution

The fourth proportional to 1,743.54, 2,614.46 and 1,013.33 is: 1,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.54 : 2,614.46 = 1,013.33 : x
  2. Step 2: Convert to fraction form
    1,743.54/2,614.46 = 1,013.33/x
  3. Step 3: Cross multiply
    1,743.54x = 2,614.46 × 1,013.33
  4. Step 4: Simplify right side
    1,743.54x = 2,649,292.61
  5. Step 5: Solve for x
    x = 2,649,292.61/1,743.54
  6. Step 6: Final answer
    x = 1,519.49

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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.