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Finding the Fourth Proportional to 2,266, 3,125.59 and 1,635.46

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Solution

The fourth proportional to 2,266, 3,125.59 and 1,635.46 is: 2,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266 : 3,125.59 = 1,635.46 : x
  2. Step 2: Convert to fraction form
    2,266/3,125.59 = 1,635.46/x
  3. Step 3: Cross multiply
    2,266x = 3,125.59 × 1,635.46
  4. Step 4: Simplify right side
    2,266x = 5,111,777.42
  5. Step 5: Solve for x
    x = 5,111,777.42/2,266
  6. Step 6: Final answer
    x = 2,255.86

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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.