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Finding the Fourth Proportional to 2,767.85, 3,819.32 and 1,648.63

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Solution

The fourth proportional to 2,767.85, 3,819.32 and 1,648.63 is: 2,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.85 : 3,819.32 = 1,648.63 : x
  2. Step 2: Convert to fraction form
    2,767.85/3,819.32 = 1,648.63/x
  3. Step 3: Cross multiply
    2,767.85x = 3,819.32 × 1,648.63
  4. Step 4: Simplify right side
    2,767.85x = 6,296,627.74
  5. Step 5: Solve for x
    x = 6,296,627.74/2,767.85
  6. Step 6: Final answer
    x = 2,274.92

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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.