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Finding the Fourth Proportional to 2,833.42, 3,910.39 and 1,714.63

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Solution

The fourth proportional to 2,833.42, 3,910.39 and 1,714.63 is: 2,366.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.42 : 3,910.39 = 1,714.63 : x
  2. Step 2: Convert to fraction form
    2,833.42/3,910.39 = 1,714.63/x
  3. Step 3: Cross multiply
    2,833.42x = 3,910.39 × 1,714.63
  4. Step 4: Simplify right side
    2,833.42x = 6,704,872.01
  5. Step 5: Solve for x
    x = 6,704,872.01/2,833.42
  6. Step 6: Final answer
    x = 2,366.35

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