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Finding the Fourth Proportional to 2,266.44, 3,127.68 and 1,271.72

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Solution

The fourth proportional to 2,266.44, 3,127.68 and 1,271.72 is: 1,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.44 : 3,127.68 = 1,271.72 : x
  2. Step 2: Convert to fraction form
    2,266.44/3,127.68 = 1,271.72/x
  3. Step 3: Cross multiply
    2,266.44x = 3,127.68 × 1,271.72
  4. Step 4: Simplify right side
    2,266.44x = 3,977,541.03
  5. Step 5: Solve for x
    x = 3,977,541.03/2,266.44
  6. Step 6: Final answer
    x = 1,754.97

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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.