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Finding the Fourth Proportional to 1,896.54, 2,614.62 and 1,267.20

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Solution

The fourth proportional to 1,896.54, 2,614.62 and 1,267.20 is: 1,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.54 : 2,614.62 = 1,267.20 : x
  2. Step 2: Convert to fraction form
    1,896.54/2,614.62 = 1,267.20/x
  3. Step 3: Cross multiply
    1,896.54x = 2,614.62 × 1,267.20
  4. Step 4: Simplify right side
    1,896.54x = 3,313,246.46
  5. Step 5: Solve for x
    x = 3,313,246.46/1,896.54
  6. Step 6: Final answer
    x = 1,747.00

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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.