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Finding the Fourth Proportional to 2,318.47, 3,199.49 and 1,270.54

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Solution

The fourth proportional to 2,318.47, 3,199.49 and 1,270.54 is: 1,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.47 : 3,199.49 = 1,270.54 : x
  2. Step 2: Convert to fraction form
    2,318.47/3,199.49 = 1,270.54/x
  3. Step 3: Cross multiply
    2,318.47x = 3,199.49 × 1,270.54
  4. Step 4: Simplify right side
    2,318.47x = 4,065,067.20
  5. Step 5: Solve for x
    x = 4,065,067.20/2,318.47
  6. Step 6: Final answer
    x = 1,753.34

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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.