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Finding the Fourth Proportional to 1,964.78, 2,947.14 and 810.50

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Solution

The fourth proportional to 1,964.78, 2,947.14 and 810.50 is: 1,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.78 : 2,947.14 = 810.50 : x
  2. Step 2: Convert to fraction form
    1,964.78/2,947.14 = 810.50/x
  3. Step 3: Cross multiply
    1,964.78x = 2,947.14 × 810.50
  4. Step 4: Simplify right side
    1,964.78x = 2,388,656.97
  5. Step 5: Solve for x
    x = 2,388,656.97/1,964.78
  6. Step 6: Final answer
    x = 1,215.74

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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.