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Finding the Fourth Proportional to 2,266.78, 3,127.95 and 1,271.88

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Solution

The fourth proportional to 2,266.78, 3,127.95 and 1,271.88 is: 1,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.78 : 3,127.95 = 1,271.88 : x
  2. Step 2: Convert to fraction form
    2,266.78/3,127.95 = 1,271.88/x
  3. Step 3: Cross multiply
    2,266.78x = 3,127.95 × 1,271.88
  4. Step 4: Simplify right side
    2,266.78x = 3,978,377.05
  5. Step 5: Solve for x
    x = 3,978,377.05/2,266.78
  6. Step 6: Final answer
    x = 1,755.08

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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.