Home / 2,204.58-3,304.60-971.76

Finding the Fourth Proportional to 2,204.58, 3,304.60 and 971.76

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Solution

The fourth proportional to 2,204.58, 3,304.60 and 971.76 is: 1,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.58 : 3,304.60 = 971.76 : x
  2. Step 2: Convert to fraction form
    2,204.58/3,304.60 = 971.76/x
  3. Step 3: Cross multiply
    2,204.58x = 3,304.60 × 971.76
  4. Step 4: Simplify right side
    2,204.58x = 3,211,278.10
  5. Step 5: Solve for x
    x = 3,211,278.10/2,204.58
  6. Step 6: Final answer
    x = 1,456.64

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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.