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Finding the Fourth Proportional to 3,034.63, 4,182.90 and 2,266.84

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Solution

The fourth proportional to 3,034.63, 4,182.90 and 2,266.84 is: 3,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.63 : 4,182.90 = 2,266.84 : x
  2. Step 2: Convert to fraction form
    3,034.63/4,182.90 = 2,266.84/x
  3. Step 3: Cross multiply
    3,034.63x = 4,182.90 × 2,266.84
  4. Step 4: Simplify right side
    3,034.63x = 9,481,965.04
  5. Step 5: Solve for x
    x = 9,481,965.04/3,034.63
  6. Step 6: Final answer
    x = 3,124.59

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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.