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Finding the Fourth Proportional to 2,827.19, 4,241.39 and 879.54

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Solution

The fourth proportional to 2,827.19, 4,241.39 and 879.54 is: 1,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.19 : 4,241.39 = 879.54 : x
  2. Step 2: Convert to fraction form
    2,827.19/4,241.39 = 879.54/x
  3. Step 3: Cross multiply
    2,827.19x = 4,241.39 × 879.54
  4. Step 4: Simplify right side
    2,827.19x = 3,730,467.76
  5. Step 5: Solve for x
    x = 3,730,467.76/2,827.19
  6. Step 6: Final answer
    x = 1,319.50

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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.