Home / 2,468.20-3,702.60-824.30

Finding the Fourth Proportional to 2,468.20, 3,702.60 and 824.30

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Solution

The fourth proportional to 2,468.20, 3,702.60 and 824.30 is: 1,236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.20 : 3,702.60 = 824.30 : x
  2. Step 2: Convert to fraction form
    2,468.20/3,702.60 = 824.30/x
  3. Step 3: Cross multiply
    2,468.20x = 3,702.60 × 824.30
  4. Step 4: Simplify right side
    2,468.20x = 3,052,053.18
  5. Step 5: Solve for x
    x = 3,052,053.18/2,468.20
  6. Step 6: Final answer
    x = 1,236.55

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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.