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Finding the Fourth Proportional to 2,133.54, 2,944.35 and 1,294.38

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Solution

The fourth proportional to 2,133.54, 2,944.35 and 1,294.38 is: 1,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.54 : 2,944.35 = 1,294.38 : x
  2. Step 2: Convert to fraction form
    2,133.54/2,944.35 = 1,294.38/x
  3. Step 3: Cross multiply
    2,133.54x = 2,944.35 × 1,294.38
  4. Step 4: Simplify right side
    2,133.54x = 3,811,107.75
  5. Step 5: Solve for x
    x = 3,811,107.75/2,133.54
  6. Step 6: Final answer
    x = 1,786.28

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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.