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Finding the Fourth Proportional to 3,041.12, 4,561.71 and 961.09

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Solution

The fourth proportional to 3,041.12, 4,561.71 and 961.09 is: 1,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.12 : 4,561.71 = 961.09 : x
  2. Step 2: Convert to fraction form
    3,041.12/4,561.71 = 961.09/x
  3. Step 3: Cross multiply
    3,041.12x = 4,561.71 × 961.09
  4. Step 4: Simplify right side
    3,041.12x = 4,384,213.86
  5. Step 5: Solve for x
    x = 4,384,213.86/3,041.12
  6. Step 6: Final answer
    x = 1,441.64

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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.