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Finding the Fourth Proportional to 1,965.25, 2,948.69 and 811.81

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Solution

The fourth proportional to 1,965.25, 2,948.69 and 811.81 is: 1,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.25 : 2,948.69 = 811.81 : x
  2. Step 2: Convert to fraction form
    1,965.25/2,948.69 = 811.81/x
  3. Step 3: Cross multiply
    1,965.25x = 2,948.69 × 811.81
  4. Step 4: Simplify right side
    1,965.25x = 2,393,776.03
  5. Step 5: Solve for x
    x = 2,393,776.03/1,965.25
  6. Step 6: Final answer
    x = 1,218.05

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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.