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Finding the Fourth Proportional to 1,338.77, 2,011.25 and 949.74

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Solution

The fourth proportional to 1,338.77, 2,011.25 and 949.74 is: 1,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.77 : 2,011.25 = 949.74 : x
  2. Step 2: Convert to fraction form
    1,338.77/2,011.25 = 949.74/x
  3. Step 3: Cross multiply
    1,338.77x = 2,011.25 × 949.74
  4. Step 4: Simplify right side
    1,338.77x = 1,910,159.83
  5. Step 5: Solve for x
    x = 1,910,159.83/1,338.77
  6. Step 6: Final answer
    x = 1,426.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.