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Finding the Fourth Proportional to 1,480.64, 2,221.36 and 1,319.44

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Solution

The fourth proportional to 1,480.64, 2,221.36 and 1,319.44 is: 1,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.64 : 2,221.36 = 1,319.44 : x
  2. Step 2: Convert to fraction form
    1,480.64/2,221.36 = 1,319.44/x
  3. Step 3: Cross multiply
    1,480.64x = 2,221.36 × 1,319.44
  4. Step 4: Simplify right side
    1,480.64x = 2,930,951.24
  5. Step 5: Solve for x
    x = 2,930,951.24/1,480.64
  6. Step 6: Final answer
    x = 1,979.52

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