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Finding the Fourth Proportional to 2,421.48, 3,631.50 and 861.21

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Solution

The fourth proportional to 2,421.48, 3,631.50 and 861.21 is: 1,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.48 : 3,631.50 = 861.21 : x
  2. Step 2: Convert to fraction form
    2,421.48/3,631.50 = 861.21/x
  3. Step 3: Cross multiply
    2,421.48x = 3,631.50 × 861.21
  4. Step 4: Simplify right side
    2,421.48x = 3,127,484.12
  5. Step 5: Solve for x
    x = 3,127,484.12/2,421.48
  6. Step 6: Final answer
    x = 1,291.56

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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.