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Finding the Fourth Proportional to 1,780.14, 2,456.46 and 994.18

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Solution

The fourth proportional to 1,780.14, 2,456.46 and 994.18 is: 1,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.14 : 2,456.46 = 994.18 : x
  2. Step 2: Convert to fraction form
    1,780.14/2,456.46 = 994.18/x
  3. Step 3: Cross multiply
    1,780.14x = 2,456.46 × 994.18
  4. Step 4: Simplify right side
    1,780.14x = 2,442,163.40
  5. Step 5: Solve for x
    x = 2,442,163.40/1,780.14
  6. Step 6: Final answer
    x = 1,371.89

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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.