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Finding the Fourth Proportional to 2,969.77, 4,098.30 and 1,643.50

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Solution

The fourth proportional to 2,969.77, 4,098.30 and 1,643.50 is: 2,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.77 : 4,098.30 = 1,643.50 : x
  2. Step 2: Convert to fraction form
    2,969.77/4,098.30 = 1,643.50/x
  3. Step 3: Cross multiply
    2,969.77x = 4,098.30 × 1,643.50
  4. Step 4: Simplify right side
    2,969.77x = 6,735,535.56
  5. Step 5: Solve for x
    x = 6,735,535.56/2,969.77
  6. Step 6: Final answer
    x = 2,268.04

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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.