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Finding the Fourth Proportional to 2,266.40, 3,399.60 and 2,085.92

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Solution

The fourth proportional to 2,266.40, 3,399.60 and 2,085.92 is: 3,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.40 : 3,399.60 = 2,085.92 : x
  2. Step 2: Convert to fraction form
    2,266.40/3,399.60 = 2,085.92/x
  3. Step 3: Cross multiply
    2,266.40x = 3,399.60 × 2,085.92
  4. Step 4: Simplify right side
    2,266.40x = 7,091,293.63
  5. Step 5: Solve for x
    x = 7,091,293.63/2,266.40
  6. Step 6: Final answer
    x = 3,128.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.