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Finding the Fourth Proportional to 2,114.28, 2,917.22 and 1,834.02

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Solution

The fourth proportional to 2,114.28, 2,917.22 and 1,834.02 is: 2,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.28 : 2,917.22 = 1,834.02 : x
  2. Step 2: Convert to fraction form
    2,114.28/2,917.22 = 1,834.02/x
  3. Step 3: Cross multiply
    2,114.28x = 2,917.22 × 1,834.02
  4. Step 4: Simplify right side
    2,114.28x = 5,350,230.65
  5. Step 5: Solve for x
    x = 5,350,230.65/2,114.28
  6. Step 6: Final answer
    x = 2,530.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.