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Finding the Fourth Proportional to 1,578.98, 2,179.44 and 1,266.42

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Solution

The fourth proportional to 1,578.98, 2,179.44 and 1,266.42 is: 1,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.98 : 2,179.44 = 1,266.42 : x
  2. Step 2: Convert to fraction form
    1,578.98/2,179.44 = 1,266.42/x
  3. Step 3: Cross multiply
    1,578.98x = 2,179.44 × 1,266.42
  4. Step 4: Simplify right side
    1,578.98x = 2,760,086.40
  5. Step 5: Solve for x
    x = 2,760,086.40/1,578.98
  6. Step 6: Final answer
    x = 1,748.02

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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.