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Finding the Fourth Proportional to 2,213.88, 3,314.40 and 1,725.48

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Solution

The fourth proportional to 2,213.88, 3,314.40 and 1,725.48 is: 2,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.88 : 3,314.40 = 1,725.48 : x
  2. Step 2: Convert to fraction form
    2,213.88/3,314.40 = 1,725.48/x
  3. Step 3: Cross multiply
    2,213.88x = 3,314.40 × 1,725.48
  4. Step 4: Simplify right side
    2,213.88x = 5,718,930.91
  5. Step 5: Solve for x
    x = 5,718,930.91/2,213.88
  6. Step 6: Final answer
    x = 2,583.22

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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.