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Finding the Fourth Proportional to 3,610.65, 4,981.85 and 2,097.31

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Solution

The fourth proportional to 3,610.65, 4,981.85 and 2,097.31 is: 2,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610.65 : 4,981.85 = 2,097.31 : x
  2. Step 2: Convert to fraction form
    3,610.65/4,981.85 = 2,097.31/x
  3. Step 3: Cross multiply
    3,610.65x = 4,981.85 × 2,097.31
  4. Step 4: Simplify right side
    3,610.65x = 10,448,493.21
  5. Step 5: Solve for x
    x = 10,448,493.21/3,610.65
  6. Step 6: Final answer
    x = 2,893.80

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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.