Home / 2,203.16-3,304.20-742.28

Finding the Fourth Proportional to 2,203.16, 3,304.20 and 742.28

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Solution

The fourth proportional to 2,203.16, 3,304.20 and 742.28 is: 1,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.16 : 3,304.20 = 742.28 : x
  2. Step 2: Convert to fraction form
    2,203.16/3,304.20 = 742.28/x
  3. Step 3: Cross multiply
    2,203.16x = 3,304.20 × 742.28
  4. Step 4: Simplify right side
    2,203.16x = 2,452,641.58
  5. Step 5: Solve for x
    x = 2,452,641.58/2,203.16
  6. Step 6: Final answer
    x = 1,113.24

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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.