Home / 2,204.96-3,308.02-972.62

Finding the Fourth Proportional to 2,204.96, 3,308.02 and 972.62

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Solution

The fourth proportional to 2,204.96, 3,308.02 and 972.62 is: 1,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.96 : 3,308.02 = 972.62 : x
  2. Step 2: Convert to fraction form
    2,204.96/3,308.02 = 972.62/x
  3. Step 3: Cross multiply
    2,204.96x = 3,308.02 × 972.62
  4. Step 4: Simplify right side
    2,204.96x = 3,217,446.41
  5. Step 5: Solve for x
    x = 3,217,446.41/2,204.96
  6. Step 6: Final answer
    x = 1,459.19

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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.