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Finding the Fourth Proportional to 1,648.25, 2,274.59 and 949.63

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Solution

The fourth proportional to 1,648.25, 2,274.59 and 949.63 is: 1,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.25 : 2,274.59 = 949.63 : x
  2. Step 2: Convert to fraction form
    1,648.25/2,274.59 = 949.63/x
  3. Step 3: Cross multiply
    1,648.25x = 2,274.59 × 949.63
  4. Step 4: Simplify right side
    1,648.25x = 2,160,002.78
  5. Step 5: Solve for x
    x = 2,160,002.78/1,648.25
  6. Step 6: Final answer
    x = 1,310.48

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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.