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Finding the Fourth Proportional to 1,964.88, 2,947.28 and 809.84

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Solution

The fourth proportional to 1,964.88, 2,947.28 and 809.84 is: 1,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.88 : 2,947.28 = 809.84 : x
  2. Step 2: Convert to fraction form
    1,964.88/2,947.28 = 809.84/x
  3. Step 3: Cross multiply
    1,964.88x = 2,947.28 × 809.84
  4. Step 4: Simplify right side
    1,964.88x = 2,386,825.24
  5. Step 5: Solve for x
    x = 2,386,825.24/1,964.88
  6. Step 6: Final answer
    x = 1,214.74

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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.