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Finding the Fourth Proportional to 2,063.21, 3,092.65 and 966.68

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Solution

The fourth proportional to 2,063.21, 3,092.65 and 966.68 is: 1,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.21 : 3,092.65 = 966.68 : x
  2. Step 2: Convert to fraction form
    2,063.21/3,092.65 = 966.68/x
  3. Step 3: Cross multiply
    2,063.21x = 3,092.65 × 966.68
  4. Step 4: Simplify right side
    2,063.21x = 2,989,602.90
  5. Step 5: Solve for x
    x = 2,989,602.90/2,063.21
  6. Step 6: Final answer
    x = 1,449.01

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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.