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Finding the Fourth Proportional to 2,572.14, 3,857.22 and 1,532.34

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Solution

The fourth proportional to 2,572.14, 3,857.22 and 1,532.34 is: 2,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.14 : 3,857.22 = 1,532.34 : x
  2. Step 2: Convert to fraction form
    2,572.14/3,857.22 = 1,532.34/x
  3. Step 3: Cross multiply
    2,572.14x = 3,857.22 × 1,532.34
  4. Step 4: Simplify right side
    2,572.14x = 5,910,572.49
  5. Step 5: Solve for x
    x = 5,910,572.49/2,572.14
  6. Step 6: Final answer
    x = 2,297.92

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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.