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Finding the Fourth Proportional to 2,827.09, 4,241.45 and 879.45

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Solution

The fourth proportional to 2,827.09, 4,241.45 and 879.45 is: 1,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.09 : 4,241.45 = 879.45 : x
  2. Step 2: Convert to fraction form
    2,827.09/4,241.45 = 879.45/x
  3. Step 3: Cross multiply
    2,827.09x = 4,241.45 × 879.45
  4. Step 4: Simplify right side
    2,827.09x = 3,730,143.20
  5. Step 5: Solve for x
    x = 3,730,143.20/2,827.09
  6. Step 6: Final answer
    x = 1,319.43

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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.