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Finding the Fourth Proportional to 3,460.10, 4,773.84 and 2,043.86

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Solution

The fourth proportional to 3,460.10, 4,773.84 and 2,043.86 is: 2,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.10 : 4,773.84 = 2,043.86 : x
  2. Step 2: Convert to fraction form
    3,460.10/4,773.84 = 2,043.86/x
  3. Step 3: Cross multiply
    3,460.10x = 4,773.84 × 2,043.86
  4. Step 4: Simplify right side
    3,460.10x = 9,757,060.62
  5. Step 5: Solve for x
    x = 9,757,060.62/3,460.10
  6. Step 6: Final answer
    x = 2,819.88

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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.