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Finding the Fourth Proportional to 2,421.25, 3,631.89 and 960.77

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Solution

The fourth proportional to 2,421.25, 3,631.89 and 960.77 is: 1,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.25 : 3,631.89 = 960.77 : x
  2. Step 2: Convert to fraction form
    2,421.25/3,631.89 = 960.77/x
  3. Step 3: Cross multiply
    2,421.25x = 3,631.89 × 960.77
  4. Step 4: Simplify right side
    2,421.25x = 3,489,410.96
  5. Step 5: Solve for x
    x = 3,489,410.96/2,421.25
  6. Step 6: Final answer
    x = 1,441.16

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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.