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Finding the Fourth Proportional to 2,134.35, 2,944.96 and 1,295.49

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Solution

The fourth proportional to 2,134.35, 2,944.96 and 1,295.49 is: 1,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.35 : 2,944.96 = 1,295.49 : x
  2. Step 2: Convert to fraction form
    2,134.35/2,944.96 = 1,295.49/x
  3. Step 3: Cross multiply
    2,134.35x = 2,944.96 × 1,295.49
  4. Step 4: Simplify right side
    2,134.35x = 3,815,174.04
  5. Step 5: Solve for x
    x = 3,815,174.04/2,134.35
  6. Step 6: Final answer
    x = 1,787.51

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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.