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Finding the Fourth Proportional to 2,969.86, 4,098.39 and 1,643.55

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Solution

The fourth proportional to 2,969.86, 4,098.39 and 1,643.55 is: 2,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.86 : 4,098.39 = 1,643.55 : x
  2. Step 2: Convert to fraction form
    2,969.86/4,098.39 = 1,643.55/x
  3. Step 3: Cross multiply
    2,969.86x = 4,098.39 × 1,643.55
  4. Step 4: Simplify right side
    2,969.86x = 6,735,908.88
  5. Step 5: Solve for x
    x = 6,735,908.88/2,969.86
  6. Step 6: Final answer
    x = 2,268.09

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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.