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Finding the Fourth Proportional to 2,969.79, 4,098.33 and 1,643.58

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Solution

The fourth proportional to 2,969.79, 4,098.33 and 1,643.58 is: 2,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.79 : 4,098.33 = 1,643.58 : x
  2. Step 2: Convert to fraction form
    2,969.79/4,098.33 = 1,643.58/x
  3. Step 3: Cross multiply
    2,969.79x = 4,098.33 × 1,643.58
  4. Step 4: Simplify right side
    2,969.79x = 6,735,933.22
  5. Step 5: Solve for x
    x = 6,735,933.22/2,969.79
  6. Step 6: Final answer
    x = 2,268.15

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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.