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Finding the Fourth Proportional to 2,811.61, 4,214.59 and 961.46

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Solution

The fourth proportional to 2,811.61, 4,214.59 and 961.46 is: 1,441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.61 : 4,214.59 = 961.46 : x
  2. Step 2: Convert to fraction form
    2,811.61/4,214.59 = 961.46/x
  3. Step 3: Cross multiply
    2,811.61x = 4,214.59 × 961.46
  4. Step 4: Simplify right side
    2,811.61x = 4,052,142.69
  5. Step 5: Solve for x
    x = 4,052,142.69/2,811.61
  6. Step 6: Final answer
    x = 1,441.22

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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.