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Finding the Fourth Proportional to 2,661.20, 3,672.54 and 1,466.12

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Solution

The fourth proportional to 2,661.20, 3,672.54 and 1,466.12 is: 2,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.20 : 3,672.54 = 1,466.12 : x
  2. Step 2: Convert to fraction form
    2,661.20/3,672.54 = 1,466.12/x
  3. Step 3: Cross multiply
    2,661.20x = 3,672.54 × 1,466.12
  4. Step 4: Simplify right side
    2,661.20x = 5,384,384.34
  5. Step 5: Solve for x
    x = 5,384,384.34/2,661.20
  6. Step 6: Final answer
    x = 2,023.29

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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.