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Finding the Fourth Proportional to 2,066.52, 2,834.31 and 1,833.24

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Solution

The fourth proportional to 2,066.52, 2,834.31 and 1,833.24 is: 2,514.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.52 : 2,834.31 = 1,833.24 : x
  2. Step 2: Convert to fraction form
    2,066.52/2,834.31 = 1,833.24/x
  3. Step 3: Cross multiply
    2,066.52x = 2,834.31 × 1,833.24
  4. Step 4: Simplify right side
    2,066.52x = 5,195,970.46
  5. Step 5: Solve for x
    x = 5,195,970.46/2,066.52
  6. Step 6: Final answer
    x = 2,514.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.