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Finding the Fourth Proportional to 2,767.43, 3,819.06 and 1,648.14

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Solution

The fourth proportional to 2,767.43, 3,819.06 and 1,648.14 is: 2,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.43 : 3,819.06 = 1,648.14 : x
  2. Step 2: Convert to fraction form
    2,767.43/3,819.06 = 1,648.14/x
  3. Step 3: Cross multiply
    2,767.43x = 3,819.06 × 1,648.14
  4. Step 4: Simplify right side
    2,767.43x = 6,294,345.55
  5. Step 5: Solve for x
    x = 6,294,345.55/2,767.43
  6. Step 6: Final answer
    x = 2,274.44

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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.