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Finding the Fourth Proportional to 1,966.54, 2,947.84 and 733.58

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Solution

The fourth proportional to 1,966.54, 2,947.84 and 733.58 is: 1,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.54 : 2,947.84 = 733.58 : x
  2. Step 2: Convert to fraction form
    1,966.54/2,947.84 = 733.58/x
  3. Step 3: Cross multiply
    1,966.54x = 2,947.84 × 733.58
  4. Step 4: Simplify right side
    1,966.54x = 2,162,476.47
  5. Step 5: Solve for x
    x = 2,162,476.47/1,966.54
  6. Step 6: Final answer
    x = 1,099.64

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Why These Related Problems?

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