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Finding the Fourth Proportional to 2,266.08, 3,127.60 and 1,322

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Solution

The fourth proportional to 2,266.08, 3,127.60 and 1,322 is: 1,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.08 : 3,127.60 = 1,322 : x
  2. Step 2: Convert to fraction form
    2,266.08/3,127.60 = 1,322/x
  3. Step 3: Cross multiply
    2,266.08x = 3,127.60 × 1,322
  4. Step 4: Simplify right side
    2,266.08x = 4,134,687.20
  5. Step 5: Solve for x
    x = 4,134,687.20/2,266.08
  6. Step 6: Final answer
    x = 1,824.60

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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.