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Finding the Fourth Proportional to 1,964.50, 2,947.56 and 811.06

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Solution

The fourth proportional to 1,964.50, 2,947.56 and 811.06 is: 1,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.50 : 2,947.56 = 811.06 : x
  2. Step 2: Convert to fraction form
    1,964.50/2,947.56 = 811.06/x
  3. Step 3: Cross multiply
    1,964.50x = 2,947.56 × 811.06
  4. Step 4: Simplify right side
    1,964.50x = 2,390,648.01
  5. Step 5: Solve for x
    x = 2,390,648.01/1,964.50
  6. Step 6: Final answer
    x = 1,216.92

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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.