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Finding the Fourth Proportional to 1,766.85, 2,651.36 and 727.35

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Solution

The fourth proportional to 1,766.85, 2,651.36 and 727.35 is: 1,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.85 : 2,651.36 = 727.35 : x
  2. Step 2: Convert to fraction form
    1,766.85/2,651.36 = 727.35/x
  3. Step 3: Cross multiply
    1,766.85x = 2,651.36 × 727.35
  4. Step 4: Simplify right side
    1,766.85x = 1,928,463.06
  5. Step 5: Solve for x
    x = 1,928,463.06/1,766.85
  6. Step 6: Final answer
    x = 1,091.47

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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.