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Finding the Fourth Proportional to 1,519.80, 2,278.94 and 739.85

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Solution

The fourth proportional to 1,519.80, 2,278.94 and 739.85 is: 1,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.80 : 2,278.94 = 739.85 : x
  2. Step 2: Convert to fraction form
    1,519.80/2,278.94 = 739.85/x
  3. Step 3: Cross multiply
    1,519.80x = 2,278.94 × 739.85
  4. Step 4: Simplify right side
    1,519.80x = 1,686,058.67
  5. Step 5: Solve for x
    x = 1,686,058.67/1,519.80
  6. Step 6: Final answer
    x = 1,109.40

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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.