Home / 1,524.16-2,286.24-702.28

Finding the Fourth Proportional to 1,524.16, 2,286.24 and 702.28

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Solution

The fourth proportional to 1,524.16, 2,286.24 and 702.28 is: 1,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.16 : 2,286.24 = 702.28 : x
  2. Step 2: Convert to fraction form
    1,524.16/2,286.24 = 702.28/x
  3. Step 3: Cross multiply
    1,524.16x = 2,286.24 × 702.28
  4. Step 4: Simplify right side
    1,524.16x = 1,605,580.63
  5. Step 5: Solve for x
    x = 1,605,580.63/1,524.16
  6. Step 6: Final answer
    x = 1,053.42

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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.