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Finding the Fourth Proportional to 2,726.38, 4,085.96 and 993.34

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Solution

The fourth proportional to 2,726.38, 4,085.96 and 993.34 is: 1,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.38 : 4,085.96 = 993.34 : x
  2. Step 2: Convert to fraction form
    2,726.38/4,085.96 = 993.34/x
  3. Step 3: Cross multiply
    2,726.38x = 4,085.96 × 993.34
  4. Step 4: Simplify right side
    2,726.38x = 4,058,747.51
  5. Step 5: Solve for x
    x = 4,058,747.51/2,726.38
  6. Step 6: Final answer
    x = 1,488.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.