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Finding the Fourth Proportional to 2,969.88, 4,098.34 and 1,643.56

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Solution

The fourth proportional to 2,969.88, 4,098.34 and 1,643.56 is: 2,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.88 : 4,098.34 = 1,643.56 : x
  2. Step 2: Convert to fraction form
    2,969.88/4,098.34 = 1,643.56/x
  3. Step 3: Cross multiply
    2,969.88x = 4,098.34 × 1,643.56
  4. Step 4: Simplify right side
    2,969.88x = 6,735,859.50
  5. Step 5: Solve for x
    x = 6,735,859.50/2,969.88
  6. Step 6: Final answer
    x = 2,268.06

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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.