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Finding the Fourth Proportional to 2,462.67, 3,690.08 and 1,723.68

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Solution

The fourth proportional to 2,462.67, 3,690.08 and 1,723.68 is: 2,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.67 : 3,690.08 = 1,723.68 : x
  2. Step 2: Convert to fraction form
    2,462.67/3,690.08 = 1,723.68/x
  3. Step 3: Cross multiply
    2,462.67x = 3,690.08 × 1,723.68
  4. Step 4: Simplify right side
    2,462.67x = 6,360,517.09
  5. Step 5: Solve for x
    x = 6,360,517.09/2,462.67
  6. Step 6: Final answer
    x = 2,582.77

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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.