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Finding the Fourth Proportional to 2,572.32, 3,546.57 and 2,099.73

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Solution

The fourth proportional to 2,572.32, 3,546.57 and 2,099.73 is: 2,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.32 : 3,546.57 = 2,099.73 : x
  2. Step 2: Convert to fraction form
    2,572.32/3,546.57 = 2,099.73/x
  3. Step 3: Cross multiply
    2,572.32x = 3,546.57 × 2,099.73
  4. Step 4: Simplify right side
    2,572.32x = 7,446,839.43
  5. Step 5: Solve for x
    x = 7,446,839.43/2,572.32
  6. Step 6: Final answer
    x = 2,894.99

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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.