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Finding the Fourth Proportional to 2,843.25, 4,264.65 and 994.17

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Solution

The fourth proportional to 2,843.25, 4,264.65 and 994.17 is: 1,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.25 : 4,264.65 = 994.17 : x
  2. Step 2: Convert to fraction form
    2,843.25/4,264.65 = 994.17/x
  3. Step 3: Cross multiply
    2,843.25x = 4,264.65 × 994.17
  4. Step 4: Simplify right side
    2,843.25x = 4,239,803.08
  5. Step 5: Solve for x
    x = 4,239,803.08/2,843.25
  6. Step 6: Final answer
    x = 1,491.18

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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.