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Finding the Fourth Proportional to 2,844.69, 3,925.40 and 2,099.06

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Solution

The fourth proportional to 2,844.69, 3,925.40 and 2,099.06 is: 2,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.69 : 3,925.40 = 2,099.06 : x
  2. Step 2: Convert to fraction form
    2,844.69/3,925.40 = 2,099.06/x
  3. Step 3: Cross multiply
    2,844.69x = 3,925.40 × 2,099.06
  4. Step 4: Simplify right side
    2,844.69x = 8,239,634.72
  5. Step 5: Solve for x
    x = 8,239,634.72/2,844.69
  6. Step 6: Final answer
    x = 2,896.50

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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.