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Finding the Fourth Proportional to 1,661.28, 2,292.84 and 1,267.56

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Solution

The fourth proportional to 1,661.28, 2,292.84 and 1,267.56 is: 1,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.28 : 2,292.84 = 1,267.56 : x
  2. Step 2: Convert to fraction form
    1,661.28/2,292.84 = 1,267.56/x
  3. Step 3: Cross multiply
    1,661.28x = 2,292.84 × 1,267.56
  4. Step 4: Simplify right side
    1,661.28x = 2,906,312.27
  5. Step 5: Solve for x
    x = 2,906,312.27/1,661.28
  6. Step 6: Final answer
    x = 1,749.44

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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.