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Finding the Fourth Proportional to 2,348.57, 3,519.80 and 960.32

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Solution

The fourth proportional to 2,348.57, 3,519.80 and 960.32 is: 1,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348.57 : 3,519.80 = 960.32 : x
  2. Step 2: Convert to fraction form
    2,348.57/3,519.80 = 960.32/x
  3. Step 3: Cross multiply
    2,348.57x = 3,519.80 × 960.32
  4. Step 4: Simplify right side
    2,348.57x = 3,380,111.94
  5. Step 5: Solve for x
    x = 3,380,111.94/2,348.57
  6. Step 6: Final answer
    x = 1,439.22

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1.5x scale

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.