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Finding the Fourth Proportional to 3,279.34, 4,919.05 and 1,827.71

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Solution

The fourth proportional to 3,279.34, 4,919.05 and 1,827.71 is: 2,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279.34 : 4,919.05 = 1,827.71 : x
  2. Step 2: Convert to fraction form
    3,279.34/4,919.05 = 1,827.71/x
  3. Step 3: Cross multiply
    3,279.34x = 4,919.05 × 1,827.71
  4. Step 4: Simplify right side
    3,279.34x = 8,990,625.82
  5. Step 5: Solve for x
    x = 8,990,625.82/3,279.34
  6. Step 6: Final answer
    x = 2,741.60

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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.