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Finding the Fourth Proportional to 1,776.06, 2,660.31 and 1,338.39

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Solution

The fourth proportional to 1,776.06, 2,660.31 and 1,338.39 is: 2,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.06 : 2,660.31 = 1,338.39 : x
  2. Step 2: Convert to fraction form
    1,776.06/2,660.31 = 1,338.39/x
  3. Step 3: Cross multiply
    1,776.06x = 2,660.31 × 1,338.39
  4. Step 4: Simplify right side
    1,776.06x = 3,560,532.30
  5. Step 5: Solve for x
    x = 3,560,532.30/1,776.06
  6. Step 6: Final answer
    x = 2,004.74

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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.