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Finding the Fourth Proportional to 2,421.45, 3,631.86 and 861.39

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Solution

The fourth proportional to 2,421.45, 3,631.86 and 861.39 is: 1,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.45 : 3,631.86 = 861.39 : x
  2. Step 2: Convert to fraction form
    2,421.45/3,631.86 = 861.39/x
  3. Step 3: Cross multiply
    2,421.45x = 3,631.86 × 861.39
  4. Step 4: Simplify right side
    2,421.45x = 3,128,447.89
  5. Step 5: Solve for x
    x = 3,128,447.89/2,421.45
  6. Step 6: Final answer
    x = 1,291.97

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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.