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Finding the Fourth Proportional to 2,910.77, 4,363.40 and 961.91

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Solution

The fourth proportional to 2,910.77, 4,363.40 and 961.91 is: 1,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.77 : 4,363.40 = 961.91 : x
  2. Step 2: Convert to fraction form
    2,910.77/4,363.40 = 961.91/x
  3. Step 3: Cross multiply
    2,910.77x = 4,363.40 × 961.91
  4. Step 4: Simplify right side
    2,910.77x = 4,197,171.47
  5. Step 5: Solve for x
    x = 4,197,171.47/2,910.77
  6. Step 6: Final answer
    x = 1,441.95

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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.