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Finding the Fourth Proportional to 2,454.11, 3,681.72 and 810.83

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Solution

The fourth proportional to 2,454.11, 3,681.72 and 810.83 is: 1,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.11 : 3,681.72 = 810.83 : x
  2. Step 2: Convert to fraction form
    2,454.11/3,681.72 = 810.83/x
  3. Step 3: Cross multiply
    2,454.11x = 3,681.72 × 810.83
  4. Step 4: Simplify right side
    2,454.11x = 2,985,249.03
  5. Step 5: Solve for x
    x = 2,985,249.03/2,454.11
  6. Step 6: Final answer
    x = 1,216.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.