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Finding the Fourth Proportional to 3,151.86, 4,726.29 and 960.15

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Solution

The fourth proportional to 3,151.86, 4,726.29 and 960.15 is: 1,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.86 : 4,726.29 = 960.15 : x
  2. Step 2: Convert to fraction form
    3,151.86/4,726.29 = 960.15/x
  3. Step 3: Cross multiply
    3,151.86x = 4,726.29 × 960.15
  4. Step 4: Simplify right side
    3,151.86x = 4,537,947.34
  5. Step 5: Solve for x
    x = 4,537,947.34/3,151.86
  6. Step 6: Final answer
    x = 1,439.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.