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Finding the Fourth Proportional to 1,643.11, 2,462.52 and 861.13

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Solution

The fourth proportional to 1,643.11, 2,462.52 and 861.13 is: 1,290.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.11 : 2,462.52 = 861.13 : x
  2. Step 2: Convert to fraction form
    1,643.11/2,462.52 = 861.13/x
  3. Step 3: Cross multiply
    1,643.11x = 2,462.52 × 861.13
  4. Step 4: Simplify right side
    1,643.11x = 2,120,549.85
  5. Step 5: Solve for x
    x = 2,120,549.85/1,643.11
  6. Step 6: Final answer
    x = 1,290.57

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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.