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Finding the Fourth Proportional to 2,613.87, 3,918.30 and 969.97

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Solution

The fourth proportional to 2,613.87, 3,918.30 and 969.97 is: 1,454.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.87 : 3,918.30 = 969.97 : x
  2. Step 2: Convert to fraction form
    2,613.87/3,918.30 = 969.97/x
  3. Step 3: Cross multiply
    2,613.87x = 3,918.30 × 969.97
  4. Step 4: Simplify right side
    2,613.87x = 3,800,633.45
  5. Step 5: Solve for x
    x = 3,800,633.45/2,613.87
  6. Step 6: Final answer
    x = 1,454.03

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1.5x scale

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.