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Finding the Fourth Proportional to 2,572.29, 3,856.98 and 816.96

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Solution

The fourth proportional to 2,572.29, 3,856.98 and 816.96 is: 1,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.29 : 3,856.98 = 816.96 : x
  2. Step 2: Convert to fraction form
    2,572.29/3,856.98 = 816.96/x
  3. Step 3: Cross multiply
    2,572.29x = 3,856.98 × 816.96
  4. Step 4: Simplify right side
    2,572.29x = 3,150,998.38
  5. Step 5: Solve for x
    x = 3,150,998.38/2,572.29
  6. Step 6: Final answer
    x = 1,224.98

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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.