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Finding the Fourth Proportional to 1,701.30, 2,550.08 and 969.27

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Solution

The fourth proportional to 1,701.30, 2,550.08 and 969.27 is: 1,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.30 : 2,550.08 = 969.27 : x
  2. Step 2: Convert to fraction form
    1,701.30/2,550.08 = 969.27/x
  3. Step 3: Cross multiply
    1,701.30x = 2,550.08 × 969.27
  4. Step 4: Simplify right side
    1,701.30x = 2,471,708.90
  5. Step 5: Solve for x
    x = 2,471,708.90/1,701.30
  6. Step 6: Final answer
    x = 1,452.83

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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.