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Finding the Fourth Proportional to 1,393.92, 1,919.36 and 1,098.24

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Solution

The fourth proportional to 1,393.92, 1,919.36 and 1,098.24 is: 1,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.92 : 1,919.36 = 1,098.24 : x
  2. Step 2: Convert to fraction form
    1,393.92/1,919.36 = 1,098.24/x
  3. Step 3: Cross multiply
    1,393.92x = 1,919.36 × 1,098.24
  4. Step 4: Simplify right side
    1,393.92x = 2,107,917.93
  5. Step 5: Solve for x
    x = 2,107,917.93/1,393.92
  6. Step 6: Final answer
    x = 1,512.22

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1.5x scale

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.