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Finding the Fourth Proportional to 1,648.32, 2,274.48 and 949.56

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Solution

The fourth proportional to 1,648.32, 2,274.48 and 949.56 is: 1,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.32 : 2,274.48 = 949.56 : x
  2. Step 2: Convert to fraction form
    1,648.32/2,274.48 = 949.56/x
  3. Step 3: Cross multiply
    1,648.32x = 2,274.48 × 949.56
  4. Step 4: Simplify right side
    1,648.32x = 2,159,755.23
  5. Step 5: Solve for x
    x = 2,159,755.23/1,648.32
  6. Step 6: Final answer
    x = 1,310.28

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Why These Related Problems?

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