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Finding the Fourth Proportional to 2,157.06, 3,234.78 and 1,002

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Solution

The fourth proportional to 2,157.06, 3,234.78 and 1,002 is: 1,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.06 : 3,234.78 = 1,002 : x
  2. Step 2: Convert to fraction form
    2,157.06/3,234.78 = 1,002/x
  3. Step 3: Cross multiply
    2,157.06x = 3,234.78 × 1,002
  4. Step 4: Simplify right side
    2,157.06x = 3,241,249.56
  5. Step 5: Solve for x
    x = 3,241,249.56/2,157.06
  6. Step 6: Final answer
    x = 1,502.62

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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.