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Finding the Fourth Proportional to 3,340.66, 4,610.29 and 2,099.06

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Solution

The fourth proportional to 3,340.66, 4,610.29 and 2,099.06 is: 2,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.66 : 4,610.29 = 2,099.06 : x
  2. Step 2: Convert to fraction form
    3,340.66/4,610.29 = 2,099.06/x
  3. Step 3: Cross multiply
    3,340.66x = 4,610.29 × 2,099.06
  4. Step 4: Simplify right side
    3,340.66x = 9,677,275.33
  5. Step 5: Solve for x
    x = 9,677,275.33/3,340.66
  6. Step 6: Final answer
    x = 2,896.82

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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.