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Finding the Fourth Proportional to 2,134.53, 2,945.93 and 1,251.09

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Solution

The fourth proportional to 2,134.53, 2,945.93 and 1,251.09 is: 1,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.53 : 2,945.93 = 1,251.09 : x
  2. Step 2: Convert to fraction form
    2,134.53/2,945.93 = 1,251.09/x
  3. Step 3: Cross multiply
    2,134.53x = 2,945.93 × 1,251.09
  4. Step 4: Simplify right side
    2,134.53x = 3,685,617.31
  5. Step 5: Solve for x
    x = 3,685,617.31/2,134.53
  6. Step 6: Final answer
    x = 1,726.66

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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.