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Finding the Fourth Proportional to 2,133.42, 2,944.03 and 1,189.32

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Solution

The fourth proportional to 2,133.42, 2,944.03 and 1,189.32 is: 1,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.42 : 2,944.03 = 1,189.32 : x
  2. Step 2: Convert to fraction form
    2,133.42/2,944.03 = 1,189.32/x
  3. Step 3: Cross multiply
    2,133.42x = 2,944.03 × 1,189.32
  4. Step 4: Simplify right side
    2,133.42x = 3,501,383.43
  5. Step 5: Solve for x
    x = 3,501,383.43/2,133.42
  6. Step 6: Final answer
    x = 1,641.20

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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.