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Finding the Fourth Proportional to 2,133.25, 2,943.80 and 1,189.01

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Solution

The fourth proportional to 2,133.25, 2,943.80 and 1,189.01 is: 1,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.25 : 2,943.80 = 1,189.01 : x
  2. Step 2: Convert to fraction form
    2,133.25/2,943.80 = 1,189.01/x
  3. Step 3: Cross multiply
    2,133.25x = 2,943.80 × 1,189.01
  4. Step 4: Simplify right side
    2,133.25x = 3,500,207.64
  5. Step 5: Solve for x
    x = 3,500,207.64/2,133.25
  6. Step 6: Final answer
    x = 1,640.79

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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.