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Finding the Fourth Proportional to 1,643.28, 2,268 and 980.52

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Solution

The fourth proportional to 1,643.28, 2,268 and 980.52 is: 1,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.28 : 2,268 = 980.52 : x
  2. Step 2: Convert to fraction form
    1,643.28/2,268 = 980.52/x
  3. Step 3: Cross multiply
    1,643.28x = 2,268 × 980.52
  4. Step 4: Simplify right side
    1,643.28x = 2,223,819.36
  5. Step 5: Solve for x
    x = 2,223,819.36/1,643.28
  6. Step 6: Final answer
    x = 1,353.28

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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.