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Finding the Fourth Proportional to 1,701.42, 2,549.69 and 969.48

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Solution

The fourth proportional to 1,701.42, 2,549.69 and 969.48 is: 1,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.42 : 2,549.69 = 969.48 : x
  2. Step 2: Convert to fraction form
    1,701.42/2,549.69 = 969.48/x
  3. Step 3: Cross multiply
    1,701.42x = 2,549.69 × 969.48
  4. Step 4: Simplify right side
    1,701.42x = 2,471,868.61
  5. Step 5: Solve for x
    x = 2,471,868.61/1,701.42
  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.