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Finding the Fourth Proportional to 2,099.28, 2,910.16 and 2,017.20

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Solution

The fourth proportional to 2,099.28, 2,910.16 and 2,017.20 is: 2,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.28 : 2,910.16 = 2,017.20 : x
  2. Step 2: Convert to fraction form
    2,099.28/2,910.16 = 2,017.20/x
  3. Step 3: Cross multiply
    2,099.28x = 2,910.16 × 2,017.20
  4. Step 4: Simplify right side
    2,099.28x = 5,870,374.75
  5. Step 5: Solve for x
    x = 5,870,374.75/2,099.28
  6. Step 6: Final answer
    x = 2,796.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.