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Finding the Fourth Proportional to 2,134.69, 2,945.90 and 1,251.11

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Solution

The fourth proportional to 2,134.69, 2,945.90 and 1,251.11 is: 1,726.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.69 : 2,945.90 = 1,251.11 : x
  2. Step 2: Convert to fraction form
    2,134.69/2,945.90 = 1,251.11/x
  3. Step 3: Cross multiply
    2,134.69x = 2,945.90 × 1,251.11
  4. Step 4: Simplify right side
    2,134.69x = 3,685,655.44
  5. Step 5: Solve for x
    x = 3,685,655.44/2,134.69
  6. Step 6: Final answer
    x = 1,726.56

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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.