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Finding the Fourth Proportional to 2,805.02, 4,202.49 and 2,257.46

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Solution

The fourth proportional to 2,805.02, 4,202.49 and 2,257.46 is: 3,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.02 : 4,202.49 = 2,257.46 : x
  2. Step 2: Convert to fraction form
    2,805.02/4,202.49 = 2,257.46/x
  3. Step 3: Cross multiply
    2,805.02x = 4,202.49 × 2,257.46
  4. Step 4: Simplify right side
    2,805.02x = 9,486,953.08
  5. Step 5: Solve for x
    x = 9,486,953.08/2,805.02
  6. Step 6: Final answer
    x = 3,382.13

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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.