Home / 1,242.20-1,863.30-826.40

Finding the Fourth Proportional to 1,242.20, 1,863.30 and 826.40

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Solution

The fourth proportional to 1,242.20, 1,863.30 and 826.40 is: 1,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.20 : 1,863.30 = 826.40 : x
  2. Step 2: Convert to fraction form
    1,242.20/1,863.30 = 826.40/x
  3. Step 3: Cross multiply
    1,242.20x = 1,863.30 × 826.40
  4. Step 4: Simplify right side
    1,242.20x = 1,539,831.12
  5. Step 5: Solve for x
    x = 1,539,831.12/1,242.20
  6. Step 6: Final answer
    x = 1,239.60

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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.