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Finding the Fourth Proportional to 2,858.29, 4,290.17 and 2,240.46

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Solution

The fourth proportional to 2,858.29, 4,290.17 and 2,240.46 is: 3,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.29 : 4,290.17 = 2,240.46 : x
  2. Step 2: Convert to fraction form
    2,858.29/4,290.17 = 2,240.46/x
  3. Step 3: Cross multiply
    2,858.29x = 4,290.17 × 2,240.46
  4. Step 4: Simplify right side
    2,858.29x = 9,611,943.08
  5. Step 5: Solve for x
    x = 9,611,943.08/2,858.29
  6. Step 6: Final answer
    x = 3,362.83

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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.