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Finding the Fourth Proportional to 2,421.52, 3,633.27 and 861.82

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Solution

The fourth proportional to 2,421.52, 3,633.27 and 861.82 is: 1,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.52 : 3,633.27 = 861.82 : x
  2. Step 2: Convert to fraction form
    2,421.52/3,633.27 = 861.82/x
  3. Step 3: Cross multiply
    2,421.52x = 3,633.27 × 861.82
  4. Step 4: Simplify right side
    2,421.52x = 3,131,224.75
  5. Step 5: Solve for x
    x = 3,131,224.75/2,421.52
  6. Step 6: Final answer
    x = 1,293.08

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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.