Home / 2,228.16-3,342.60-767.28

Finding the Fourth Proportional to 2,228.16, 3,342.60 and 767.28

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Solution

The fourth proportional to 2,228.16, 3,342.60 and 767.28 is: 1,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.16 : 3,342.60 = 767.28 : x
  2. Step 2: Convert to fraction form
    2,228.16/3,342.60 = 767.28/x
  3. Step 3: Cross multiply
    2,228.16x = 3,342.60 × 767.28
  4. Step 4: Simplify right side
    2,228.16x = 2,564,710.13
  5. Step 5: Solve for x
    x = 2,564,710.13/2,228.16
  6. Step 6: Final answer
    x = 1,151.04

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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.