Home / 2,286.12-3,428.82-987.24

Finding the Fourth Proportional to 2,286.12, 3,428.82 and 987.24

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Solution

The fourth proportional to 2,286.12, 3,428.82 and 987.24 is: 1,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.12 : 3,428.82 = 987.24 : x
  2. Step 2: Convert to fraction form
    2,286.12/3,428.82 = 987.24/x
  3. Step 3: Cross multiply
    2,286.12x = 3,428.82 × 987.24
  4. Step 4: Simplify right side
    2,286.12x = 3,385,068.26
  5. Step 5: Solve for x
    x = 3,385,068.26/2,286.12
  6. Step 6: Final answer
    x = 1,480.70

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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.