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Finding the Fourth Proportional to 1,660.94, 2,491.39 and 1,042.75

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Solution

The fourth proportional to 1,660.94, 2,491.39 and 1,042.75 is: 1,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.94 : 2,491.39 = 1,042.75 : x
  2. Step 2: Convert to fraction form
    1,660.94/2,491.39 = 1,042.75/x
  3. Step 3: Cross multiply
    1,660.94x = 2,491.39 × 1,042.75
  4. Step 4: Simplify right side
    1,660.94x = 2,597,896.92
  5. Step 5: Solve for x
    x = 2,597,896.92/1,660.94
  6. Step 6: Final answer
    x = 1,564.11

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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.