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Finding the Fourth Proportional to 2,460.85, 3,689.11 and 1,163.89

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Solution

The fourth proportional to 2,460.85, 3,689.11 and 1,163.89 is: 1,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.85 : 3,689.11 = 1,163.89 : x
  2. Step 2: Convert to fraction form
    2,460.85/3,689.11 = 1,163.89/x
  3. Step 3: Cross multiply
    2,460.85x = 3,689.11 × 1,163.89
  4. Step 4: Simplify right side
    2,460.85x = 4,293,718.24
  5. Step 5: Solve for x
    x = 4,293,718.24/2,460.85
  6. Step 6: Final answer
    x = 1,744.81

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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.