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Finding the Fourth Proportional to 2,446.18, 3,668.51 and 690.73

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Solution

The fourth proportional to 2,446.18, 3,668.51 and 690.73 is: 1,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.18 : 3,668.51 = 690.73 : x
  2. Step 2: Convert to fraction form
    2,446.18/3,668.51 = 690.73/x
  3. Step 3: Cross multiply
    2,446.18x = 3,668.51 × 690.73
  4. Step 4: Simplify right side
    2,446.18x = 2,533,942.47
  5. Step 5: Solve for x
    x = 2,533,942.47/2,446.18
  6. Step 6: Final answer
    x = 1,035.88

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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.