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Finding the Fourth Proportional to 3,274.86, 4,518 and 1,948.08

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Solution

The fourth proportional to 3,274.86, 4,518 and 1,948.08 is: 2,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.86 : 4,518 = 1,948.08 : x
  2. Step 2: Convert to fraction form
    3,274.86/4,518 = 1,948.08/x
  3. Step 3: Cross multiply
    3,274.86x = 4,518 × 1,948.08
  4. Step 4: Simplify right side
    3,274.86x = 8,801,425.44
  5. Step 5: Solve for x
    x = 8,801,425.44/3,274.86
  6. Step 6: Final answer
    x = 2,687.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.