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Finding the Fourth Proportional to 1,613.42, 2,414.66 and 964.61

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Solution

The fourth proportional to 1,613.42, 2,414.66 and 964.61 is: 1,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.42 : 2,414.66 = 964.61 : x
  2. Step 2: Convert to fraction form
    1,613.42/2,414.66 = 964.61/x
  3. Step 3: Cross multiply
    1,613.42x = 2,414.66 × 964.61
  4. Step 4: Simplify right side
    1,613.42x = 2,329,202.77
  5. Step 5: Solve for x
    x = 2,329,202.77/1,613.42
  6. Step 6: Final answer
    x = 1,443.64

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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.