Home / 2,281.20-3,422.04-982.40

Finding the Fourth Proportional to 2,281.20, 3,422.04 and 982.40

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Solution

The fourth proportional to 2,281.20, 3,422.04 and 982.40 is: 1,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.20 : 3,422.04 = 982.40 : x
  2. Step 2: Convert to fraction form
    2,281.20/3,422.04 = 982.40/x
  3. Step 3: Cross multiply
    2,281.20x = 3,422.04 × 982.40
  4. Step 4: Simplify right side
    2,281.20x = 3,361,812.10
  5. Step 5: Solve for x
    x = 3,361,812.10/2,281.20
  6. Step 6: Final answer
    x = 1,473.70

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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.