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Finding the Fourth Proportional to 1,539, 2,122.56 and 949.68

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Solution

The fourth proportional to 1,539, 2,122.56 and 949.68 is: 1,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539 : 2,122.56 = 949.68 : x
  2. Step 2: Convert to fraction form
    1,539/2,122.56 = 949.68/x
  3. Step 3: Cross multiply
    1,539x = 2,122.56 × 949.68
  4. Step 4: Simplify right side
    1,539x = 2,015,752.78
  5. Step 5: Solve for x
    x = 2,015,752.78/1,539
  6. Step 6: Final answer
    x = 1,309.78

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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.