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Finding the Fourth Proportional to 1,998.64, 2,757.94 and 1,291.52

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Solution

The fourth proportional to 1,998.64, 2,757.94 and 1,291.52 is: 1,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.64 : 2,757.94 = 1,291.52 : x
  2. Step 2: Convert to fraction form
    1,998.64/2,757.94 = 1,291.52/x
  3. Step 3: Cross multiply
    1,998.64x = 2,757.94 × 1,291.52
  4. Step 4: Simplify right side
    1,998.64x = 3,561,934.67
  5. Step 5: Solve for x
    x = 3,561,934.67/1,998.64
  6. Step 6: Final answer
    x = 1,782.18

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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.