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Finding the Fourth Proportional to 1,380.80, 1,902.74 and 1,066.11

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Solution

The fourth proportional to 1,380.80, 1,902.74 and 1,066.11 is: 1,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.80 : 1,902.74 = 1,066.11 : x
  2. Step 2: Convert to fraction form
    1,380.80/1,902.74 = 1,066.11/x
  3. Step 3: Cross multiply
    1,380.80x = 1,902.74 × 1,066.11
  4. Step 4: Simplify right side
    1,380.80x = 2,028,524.81
  5. Step 5: Solve for x
    x = 2,028,524.81/1,380.80
  6. Step 6: Final answer
    x = 1,469.10

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Why These Related Problems?

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