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Finding the Fourth Proportional to 3,041.27, 4,561.24 and 961.43

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Solution

The fourth proportional to 3,041.27, 4,561.24 and 961.43 is: 1,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.27 : 4,561.24 = 961.43 : x
  2. Step 2: Convert to fraction form
    3,041.27/4,561.24 = 961.43/x
  3. Step 3: Cross multiply
    3,041.27x = 4,561.24 × 961.43
  4. Step 4: Simplify right side
    3,041.27x = 4,385,312.97
  5. Step 5: Solve for x
    x = 4,385,312.97/3,041.27
  6. Step 6: Final answer
    x = 1,441.93

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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.