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Finding the Fourth Proportional to 2,833.32, 3,910.33 and 1,714.64

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Solution

The fourth proportional to 2,833.32, 3,910.33 and 1,714.64 is: 2,366.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.32 : 3,910.33 = 1,714.64 : x
  2. Step 2: Convert to fraction form
    2,833.32/3,910.33 = 1,714.64/x
  3. Step 3: Cross multiply
    2,833.32x = 3,910.33 × 1,714.64
  4. Step 4: Simplify right side
    2,833.32x = 6,704,814.17
  5. Step 5: Solve for x
    x = 6,704,814.17/2,833.32
  6. Step 6: Final answer
    x = 2,366.42

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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.