Home / 2,284.20-3,426.65-823.70

Finding the Fourth Proportional to 2,284.20, 3,426.65 and 823.70

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Solution

The fourth proportional to 2,284.20, 3,426.65 and 823.70 is: 1,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.20 : 3,426.65 = 823.70 : x
  2. Step 2: Convert to fraction form
    2,284.20/3,426.65 = 823.70/x
  3. Step 3: Cross multiply
    2,284.20x = 3,426.65 × 823.70
  4. Step 4: Simplify right side
    2,284.20x = 2,822,531.61
  5. Step 5: Solve for x
    x = 2,822,531.61/2,284.20
  6. Step 6: Final answer
    x = 1,235.68

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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.