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Finding the Fourth Proportional to 2,613.15, 3,919.62 and 969.66

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Solution

The fourth proportional to 2,613.15, 3,919.62 and 969.66 is: 1,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.15 : 3,919.62 = 969.66 : x
  2. Step 2: Convert to fraction form
    2,613.15/3,919.62 = 969.66/x
  3. Step 3: Cross multiply
    2,613.15x = 3,919.62 × 969.66
  4. Step 4: Simplify right side
    2,613.15x = 3,800,698.73
  5. Step 5: Solve for x
    x = 3,800,698.73/2,613.15
  6. Step 6: Final answer
    x = 1,454.45

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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.