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Finding the Fourth Proportional to 1,469.82, 2,189.78 and 1,400.16

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Solution

The fourth proportional to 1,469.82, 2,189.78 and 1,400.16 is: 2,086.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.82 : 2,189.78 = 1,400.16 : x
  2. Step 2: Convert to fraction form
    1,469.82/2,189.78 = 1,400.16/x
  3. Step 3: Cross multiply
    1,469.82x = 2,189.78 × 1,400.16
  4. Step 4: Simplify right side
    1,469.82x = 3,066,042.36
  5. Step 5: Solve for x
    x = 3,066,042.36/1,469.82
  6. Step 6: Final answer
    x = 2,086.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.