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Finding the Fourth Proportional to 2,998.61, 4,141.29 and 2,282.80

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Solution

The fourth proportional to 2,998.61, 4,141.29 and 2,282.80 is: 3,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.61 : 4,141.29 = 2,282.80 : x
  2. Step 2: Convert to fraction form
    2,998.61/4,141.29 = 2,282.80/x
  3. Step 3: Cross multiply
    2,998.61x = 4,141.29 × 2,282.80
  4. Step 4: Simplify right side
    2,998.61x = 9,453,736.81
  5. Step 5: Solve for x
    x = 9,453,736.81/2,998.61
  6. Step 6: Final answer
    x = 3,152.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.