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Finding the Fourth Proportional to 2,827.52, 4,241.44 and 879.68

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Solution

The fourth proportional to 2,827.52, 4,241.44 and 879.68 is: 1,319.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.52 : 4,241.44 = 879.68 : x
  2. Step 2: Convert to fraction form
    2,827.52/4,241.44 = 879.68/x
  3. Step 3: Cross multiply
    2,827.52x = 4,241.44 × 879.68
  4. Step 4: Simplify right side
    2,827.52x = 3,731,109.94
  5. Step 5: Solve for x
    x = 3,731,109.94/2,827.52
  6. Step 6: Final answer
    x = 1,319.57

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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.