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Finding the Fourth Proportional to 1,633.01, 2,251.62 and 1,066.21

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Solution

The fourth proportional to 1,633.01, 2,251.62 and 1,066.21 is: 1,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.01 : 2,251.62 = 1,066.21 : x
  2. Step 2: Convert to fraction form
    1,633.01/2,251.62 = 1,066.21/x
  3. Step 3: Cross multiply
    1,633.01x = 2,251.62 × 1,066.21
  4. Step 4: Simplify right side
    1,633.01x = 2,400,709.80
  5. Step 5: Solve for x
    x = 2,400,709.80/1,633.01
  6. Step 6: Final answer
    x = 1,470.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.