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Finding the Fourth Proportional to 2,613.52, 3,919.62 and 969.16

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Solution

The fourth proportional to 2,613.52, 3,919.62 and 969.16 is: 1,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.52 : 3,919.62 = 969.16 : x
  2. Step 2: Convert to fraction form
    2,613.52/3,919.62 = 969.16/x
  3. Step 3: Cross multiply
    2,613.52x = 3,919.62 × 969.16
  4. Step 4: Simplify right side
    2,613.52x = 3,798,738.92
  5. Step 5: Solve for x
    x = 3,798,738.92/2,613.52
  6. Step 6: Final answer
    x = 1,453.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.