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Finding the Fourth Proportional to 1,657.71, 2,286.68 and 994.18

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Solution

The fourth proportional to 1,657.71, 2,286.68 and 994.18 is: 1,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.71 : 2,286.68 = 994.18 : x
  2. Step 2: Convert to fraction form
    1,657.71/2,286.68 = 994.18/x
  3. Step 3: Cross multiply
    1,657.71x = 2,286.68 × 994.18
  4. Step 4: Simplify right side
    1,657.71x = 2,273,371.52
  5. Step 5: Solve for x
    x = 2,273,371.52/1,657.71
  6. Step 6: Final answer
    x = 1,371.39

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Half scale
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Double scale
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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.