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Finding the Fourth Proportional to 2,833.33, 3,910.04 and 1,714.07

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Solution

The fourth proportional to 2,833.33, 3,910.04 and 1,714.07 is: 2,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.33 : 3,910.04 = 1,714.07 : x
  2. Step 2: Convert to fraction form
    2,833.33/3,910.04 = 1,714.07/x
  3. Step 3: Cross multiply
    2,833.33x = 3,910.04 × 1,714.07
  4. Step 4: Simplify right side
    2,833.33x = 6,702,082.26
  5. Step 5: Solve for x
    x = 6,702,082.26/2,833.33
  6. Step 6: Final answer
    x = 2,365.44

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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.