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Finding the Fourth Proportional to 2,449.32, 3,671.75 and 888.66

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Solution

The fourth proportional to 2,449.32, 3,671.75 and 888.66 is: 1,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.32 : 3,671.75 = 888.66 : x
  2. Step 2: Convert to fraction form
    2,449.32/3,671.75 = 888.66/x
  3. Step 3: Cross multiply
    2,449.32x = 3,671.75 × 888.66
  4. Step 4: Simplify right side
    2,449.32x = 3,262,932.91
  5. Step 5: Solve for x
    x = 3,262,932.91/2,449.32
  6. Step 6: Final answer
    x = 1,332.18

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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.