Home / 2,204.73-3,307.11-972.15

Finding the Fourth Proportional to 2,204.73, 3,307.11 and 972.15

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Solution

The fourth proportional to 2,204.73, 3,307.11 and 972.15 is: 1,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.73 : 3,307.11 = 972.15 : x
  2. Step 2: Convert to fraction form
    2,204.73/3,307.11 = 972.15/x
  3. Step 3: Cross multiply
    2,204.73x = 3,307.11 × 972.15
  4. Step 4: Simplify right side
    2,204.73x = 3,215,003.34
  5. Step 5: Solve for x
    x = 3,215,003.34/2,204.73
  6. Step 6: Final answer
    x = 1,458.23

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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.