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Finding the Fourth Proportional to 1,657.80, 2,287.56 and 994.56

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Solution

The fourth proportional to 1,657.80, 2,287.56 and 994.56 is: 1,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.80 : 2,287.56 = 994.56 : x
  2. Step 2: Convert to fraction form
    1,657.80/2,287.56 = 994.56/x
  3. Step 3: Cross multiply
    1,657.80x = 2,287.56 × 994.56
  4. Step 4: Simplify right side
    1,657.80x = 2,275,115.67
  5. Step 5: Solve for x
    x = 2,275,115.67/1,657.80
  6. Step 6: Final answer
    x = 1,372.37

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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.