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Finding the Fourth Proportional to 2,709.41, 4,070.96 and 2,600.06

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Solution

The fourth proportional to 2,709.41, 4,070.96 and 2,600.06 is: 3,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.41 : 4,070.96 = 2,600.06 : x
  2. Step 2: Convert to fraction form
    2,709.41/4,070.96 = 2,600.06/x
  3. Step 3: Cross multiply
    2,709.41x = 4,070.96 × 2,600.06
  4. Step 4: Simplify right side
    2,709.41x = 10,584,716.65
  5. Step 5: Solve for x
    x = 10,584,716.65/2,709.41
  6. Step 6: Final answer
    x = 3,906.66

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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.