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Finding the Fourth Proportional to 2,613.62, 3,920.45 and 968.24

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Solution

The fourth proportional to 2,613.62, 3,920.45 and 968.24 is: 1,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.62 : 3,920.45 = 968.24 : x
  2. Step 2: Convert to fraction form
    2,613.62/3,920.45 = 968.24/x
  3. Step 3: Cross multiply
    2,613.62x = 3,920.45 × 968.24
  4. Step 4: Simplify right side
    2,613.62x = 3,795,941.47
  5. Step 5: Solve for x
    x = 3,795,941.47/2,613.62
  6. Step 6: Final answer
    x = 1,452.37

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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.