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Finding the Fourth Proportional to 2,726.62, 3,762.74 and 1,592.96

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Solution

The fourth proportional to 2,726.62, 3,762.74 and 1,592.96 is: 2,198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.62 : 3,762.74 = 1,592.96 : x
  2. Step 2: Convert to fraction form
    2,726.62/3,762.74 = 1,592.96/x
  3. Step 3: Cross multiply
    2,726.62x = 3,762.74 × 1,592.96
  4. Step 4: Simplify right side
    2,726.62x = 5,993,894.31
  5. Step 5: Solve for x
    x = 5,993,894.31/2,726.62
  6. Step 6: Final answer
    x = 2,198.29

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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.