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Finding the Fourth Proportional to 1,319.52, 1,965.44 and 1,253.92

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Solution

The fourth proportional to 1,319.52, 1,965.44 and 1,253.92 is: 1,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.52 : 1,965.44 = 1,253.92 : x
  2. Step 2: Convert to fraction form
    1,319.52/1,965.44 = 1,253.92/x
  3. Step 3: Cross multiply
    1,319.52x = 1,965.44 × 1,253.92
  4. Step 4: Simplify right side
    1,319.52x = 2,464,504.52
  5. Step 5: Solve for x
    x = 2,464,504.52/1,319.52
  6. Step 6: Final answer
    x = 1,867.73

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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.