Home / 2,084.25-3,126.33-697.68

Finding the Fourth Proportional to 2,084.25, 3,126.33 and 697.68

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Solution

The fourth proportional to 2,084.25, 3,126.33 and 697.68 is: 1,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.25 : 3,126.33 = 697.68 : x
  2. Step 2: Convert to fraction form
    2,084.25/3,126.33 = 697.68/x
  3. Step 3: Cross multiply
    2,084.25x = 3,126.33 × 697.68
  4. Step 4: Simplify right side
    2,084.25x = 2,181,177.91
  5. Step 5: Solve for x
    x = 2,181,177.91/2,084.25
  6. Step 6: Final answer
    x = 1,046.50

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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.