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Finding the Fourth Proportional to 2,099.01, 3,149.94 and 866.40

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Solution

The fourth proportional to 2,099.01, 3,149.94 and 866.40 is: 1,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.01 : 3,149.94 = 866.40 : x
  2. Step 2: Convert to fraction form
    2,099.01/3,149.94 = 866.40/x
  3. Step 3: Cross multiply
    2,099.01x = 3,149.94 × 866.40
  4. Step 4: Simplify right side
    2,099.01x = 2,729,092.95
  5. Step 5: Solve for x
    x = 2,729,092.95/2,099.01
  6. Step 6: Final answer
    x = 1,300.18

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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.