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Finding the Fourth Proportional to 2,066.85, 3,095.82 and 969.57

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Solution

The fourth proportional to 2,066.85, 3,095.82 and 969.57 is: 1,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.85 : 3,095.82 = 969.57 : x
  2. Step 2: Convert to fraction form
    2,066.85/3,095.82 = 969.57/x
  3. Step 3: Cross multiply
    2,066.85x = 3,095.82 × 969.57
  4. Step 4: Simplify right side
    2,066.85x = 3,001,614.20
  5. Step 5: Solve for x
    x = 3,001,614.20/2,066.85
  6. Step 6: Final answer
    x = 1,452.27

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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.