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Finding the Fourth Proportional to 2,833.31, 3,909.78 and 1,714.87

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Solution

The fourth proportional to 2,833.31, 3,909.78 and 1,714.87 is: 2,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.31 : 3,909.78 = 1,714.87 : x
  2. Step 2: Convert to fraction form
    2,833.31/3,909.78 = 1,714.87/x
  3. Step 3: Cross multiply
    2,833.31x = 3,909.78 × 1,714.87
  4. Step 4: Simplify right side
    2,833.31x = 6,704,769.32
  5. Step 5: Solve for x
    x = 6,704,769.32/2,833.31
  6. Step 6: Final answer
    x = 2,366.41

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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.