Home / 2,264.96-3,397.41-966.40

Finding the Fourth Proportional to 2,264.96, 3,397.41 and 966.40

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Solution

The fourth proportional to 2,264.96, 3,397.41 and 966.40 is: 1,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.96 : 3,397.41 = 966.40 : x
  2. Step 2: Convert to fraction form
    2,264.96/3,397.41 = 966.40/x
  3. Step 3: Cross multiply
    2,264.96x = 3,397.41 × 966.40
  4. Step 4: Simplify right side
    2,264.96x = 3,283,248.53
  5. Step 5: Solve for x
    x = 3,283,248.53/2,264.96
  6. Step 6: Final answer
    x = 1,449.58

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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.