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Finding the Fourth Proportional to 2,827.88, 4,240.56 and 879.92

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Solution

The fourth proportional to 2,827.88, 4,240.56 and 879.92 is: 1,319.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.88 : 4,240.56 = 879.92 : x
  2. Step 2: Convert to fraction form
    2,827.88/4,240.56 = 879.92/x
  3. Step 3: Cross multiply
    2,827.88x = 4,240.56 × 879.92
  4. Step 4: Simplify right side
    2,827.88x = 3,731,353.56
  5. Step 5: Solve for x
    x = 3,731,353.56/2,827.88
  6. Step 6: Final answer
    x = 1,319.49

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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.