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Finding the Fourth Proportional to 2,507.34, 3,452.41 and 2,227.09

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Solution

The fourth proportional to 2,507.34, 3,452.41 and 2,227.09 is: 3,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.34 : 3,452.41 = 2,227.09 : x
  2. Step 2: Convert to fraction form
    2,507.34/3,452.41 = 2,227.09/x
  3. Step 3: Cross multiply
    2,507.34x = 3,452.41 × 2,227.09
  4. Step 4: Simplify right side
    2,507.34x = 7,688,826.53
  5. Step 5: Solve for x
    x = 7,688,826.53/2,507.34
  6. Step 6: Final answer
    x = 3,066.52

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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.