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Finding the Fourth Proportional to 2,774.92, 3,828.72 and 1,726.24

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Solution

The fourth proportional to 2,774.92, 3,828.72 and 1,726.24 is: 2,381.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.92 : 3,828.72 = 1,726.24 : x
  2. Step 2: Convert to fraction form
    2,774.92/3,828.72 = 1,726.24/x
  3. Step 3: Cross multiply
    2,774.92x = 3,828.72 × 1,726.24
  4. Step 4: Simplify right side
    2,774.92x = 6,609,289.61
  5. Step 5: Solve for x
    x = 6,609,289.61/2,774.92
  6. Step 6: Final answer
    x = 2,381.79

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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.