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Finding the Fourth Proportional to 2,266, 3,126.68 and 1,271.14

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Solution

The fourth proportional to 2,266, 3,126.68 and 1,271.14 is: 1,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266 : 3,126.68 = 1,271.14 : x
  2. Step 2: Convert to fraction form
    2,266/3,126.68 = 1,271.14/x
  3. Step 3: Cross multiply
    2,266x = 3,126.68 × 1,271.14
  4. Step 4: Simplify right side
    2,266x = 3,974,448.02
  5. Step 5: Solve for x
    x = 3,974,448.02/2,266
  6. Step 6: Final answer
    x = 1,753.95

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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.