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Finding the Fourth Proportional to 2,371.80, 3,575.49 and 2,213.22

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Solution

The fourth proportional to 2,371.80, 3,575.49 and 2,213.22 is: 3,336.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.80 : 3,575.49 = 2,213.22 : x
  2. Step 2: Convert to fraction form
    2,371.80/3,575.49 = 2,213.22/x
  3. Step 3: Cross multiply
    2,371.80x = 3,575.49 × 2,213.22
  4. Step 4: Simplify right side
    2,371.80x = 7,913,345.98
  5. Step 5: Solve for x
    x = 7,913,345.98/2,371.80
  6. Step 6: Final answer
    x = 3,336.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.