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Finding the Fourth Proportional to 2,282.76, 3,149.76 and 1,351.32

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Solution

The fourth proportional to 2,282.76, 3,149.76 and 1,351.32 is: 1,864.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.76 : 3,149.76 = 1,351.32 : x
  2. Step 2: Convert to fraction form
    2,282.76/3,149.76 = 1,351.32/x
  3. Step 3: Cross multiply
    2,282.76x = 3,149.76 × 1,351.32
  4. Step 4: Simplify right side
    2,282.76x = 4,256,333.68
  5. Step 5: Solve for x
    x = 4,256,333.68/2,282.76
  6. Step 6: Final answer
    x = 1,864.56

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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.