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Finding the Fourth Proportional to 2,065.72, 3,096.40 and 969.18

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Solution

The fourth proportional to 2,065.72, 3,096.40 and 969.18 is: 1,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.72 : 3,096.40 = 969.18 : x
  2. Step 2: Convert to fraction form
    2,065.72/3,096.40 = 969.18/x
  3. Step 3: Cross multiply
    2,065.72x = 3,096.40 × 969.18
  4. Step 4: Simplify right side
    2,065.72x = 3,000,968.95
  5. Step 5: Solve for x
    x = 3,000,968.95/2,065.72
  6. Step 6: Final answer
    x = 1,452.75

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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.