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Finding the Fourth Proportional to 1,643.44, 2,268.32 and 980.66

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Solution

The fourth proportional to 1,643.44, 2,268.32 and 980.66 is: 1,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.44 : 2,268.32 = 980.66 : x
  2. Step 2: Convert to fraction form
    1,643.44/2,268.32 = 980.66/x
  3. Step 3: Cross multiply
    1,643.44x = 2,268.32 × 980.66
  4. Step 4: Simplify right side
    1,643.44x = 2,224,450.69
  5. Step 5: Solve for x
    x = 2,224,450.69/1,643.44
  6. Step 6: Final answer
    x = 1,353.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.