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Finding the Fourth Proportional to 4,097.85, 6,144.40 and 2,013.31

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Solution

The fourth proportional to 4,097.85, 6,144.40 and 2,013.31 is: 3,018.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.85 : 6,144.40 = 2,013.31 : x
  2. Step 2: Convert to fraction form
    4,097.85/6,144.40 = 2,013.31/x
  3. Step 3: Cross multiply
    4,097.85x = 6,144.40 × 2,013.31
  4. Step 4: Simplify right side
    4,097.85x = 12,370,581.96
  5. Step 5: Solve for x
    x = 12,370,581.96/4,097.85
  6. Step 6: Final answer
    x = 3,018.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.