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Finding the Fourth Proportional to 2,523.41, 3,785.13 and 879.95

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Solution

The fourth proportional to 2,523.41, 3,785.13 and 879.95 is: 1,319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.41 : 3,785.13 = 879.95 : x
  2. Step 2: Convert to fraction form
    2,523.41/3,785.13 = 879.95/x
  3. Step 3: Cross multiply
    2,523.41x = 3,785.13 × 879.95
  4. Step 4: Simplify right side
    2,523.41x = 3,330,725.14
  5. Step 5: Solve for x
    x = 3,330,725.14/2,523.41
  6. Step 6: Final answer
    x = 1,319.93

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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.