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Finding the Fourth Proportional to 3,042.21, 4,561.71 and 961.66

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Solution

The fourth proportional to 3,042.21, 4,561.71 and 961.66 is: 1,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.21 : 4,561.71 = 961.66 : x
  2. Step 2: Convert to fraction form
    3,042.21/4,561.71 = 961.66/x
  3. Step 3: Cross multiply
    3,042.21x = 4,561.71 × 961.66
  4. Step 4: Simplify right side
    3,042.21x = 4,386,814.04
  5. Step 5: Solve for x
    x = 4,386,814.04/3,042.21
  6. Step 6: Final answer
    x = 1,441.98

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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.