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Finding the Fourth Proportional to 3,151.32, 4,726.82 and 960

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Solution

The fourth proportional to 3,151.32, 4,726.82 and 960 is: 1,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.32 : 4,726.82 = 960 : x
  2. Step 2: Convert to fraction form
    3,151.32/4,726.82 = 960/x
  3. Step 3: Cross multiply
    3,151.32x = 4,726.82 × 960
  4. Step 4: Simplify right side
    3,151.32x = 4,537,747.20
  5. Step 5: Solve for x
    x = 4,537,747.20/3,151.32
  6. Step 6: Final answer
    x = 1,439.95

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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.