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Finding the Fourth Proportional to 2,709.34, 4,064.01 and 2,534.38

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Solution

The fourth proportional to 2,709.34, 4,064.01 and 2,534.38 is: 3,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.34 : 4,064.01 = 2,534.38 : x
  2. Step 2: Convert to fraction form
    2,709.34/4,064.01 = 2,534.38/x
  3. Step 3: Cross multiply
    2,709.34x = 4,064.01 × 2,534.38
  4. Step 4: Simplify right side
    2,709.34x = 10,299,745.66
  5. Step 5: Solve for x
    x = 10,299,745.66/2,709.34
  6. Step 6: Final answer
    x = 3,801.57

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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.