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Finding the Fourth Proportional to 3,187.52, 4,780.74 and 879.02

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Solution

The fourth proportional to 3,187.52, 4,780.74 and 879.02 is: 1,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.52 : 4,780.74 = 879.02 : x
  2. Step 2: Convert to fraction form
    3,187.52/4,780.74 = 879.02/x
  3. Step 3: Cross multiply
    3,187.52x = 4,780.74 × 879.02
  4. Step 4: Simplify right side
    3,187.52x = 4,202,366.07
  5. Step 5: Solve for x
    x = 4,202,366.07/3,187.52
  6. Step 6: Final answer
    x = 1,318.38

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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.