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Finding the Fourth Proportional to 2,099.71, 2,897.67 and 1,512.73

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Solution

The fourth proportional to 2,099.71, 2,897.67 and 1,512.73 is: 2,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.71 : 2,897.67 = 1,512.73 : x
  2. Step 2: Convert to fraction form
    2,099.71/2,897.67 = 1,512.73/x
  3. Step 3: Cross multiply
    2,099.71x = 2,897.67 × 1,512.73
  4. Step 4: Simplify right side
    2,099.71x = 4,383,392.34
  5. Step 5: Solve for x
    x = 4,383,392.34/2,099.71
  6. Step 6: Final answer
    x = 2,087.62

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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.