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Finding the Fourth Proportional to 1,965.58, 2,949.15 and 811.06

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Solution

The fourth proportional to 1,965.58, 2,949.15 and 811.06 is: 1,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.58 : 2,949.15 = 811.06 : x
  2. Step 2: Convert to fraction form
    1,965.58/2,949.15 = 811.06/x
  3. Step 3: Cross multiply
    1,965.58x = 2,949.15 × 811.06
  4. Step 4: Simplify right side
    1,965.58x = 2,391,937.60
  5. Step 5: Solve for x
    x = 2,391,937.60/1,965.58
  6. Step 6: Final answer
    x = 1,216.91

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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.