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Finding the Fourth Proportional to 1,648.25, 2,274.78 and 949.76

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Solution

The fourth proportional to 1,648.25, 2,274.78 and 949.76 is: 1,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.25 : 2,274.78 = 949.76 : x
  2. Step 2: Convert to fraction form
    1,648.25/2,274.78 = 949.76/x
  3. Step 3: Cross multiply
    1,648.25x = 2,274.78 × 949.76
  4. Step 4: Simplify right side
    1,648.25x = 2,160,483.68
  5. Step 5: Solve for x
    x = 2,160,483.68/1,648.25
  6. Step 6: Final answer
    x = 1,310.78

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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.