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Finding the Fourth Proportional to 1,840.24, 2,538.24 and 1,726.96

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Solution

The fourth proportional to 1,840.24, 2,538.24 and 1,726.96 is: 2,381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.24 : 2,538.24 = 1,726.96 : x
  2. Step 2: Convert to fraction form
    1,840.24/2,538.24 = 1,726.96/x
  3. Step 3: Cross multiply
    1,840.24x = 2,538.24 × 1,726.96
  4. Step 4: Simplify right side
    1,840.24x = 4,383,438.95
  5. Step 5: Solve for x
    x = 4,383,438.95/1,840.24
  6. Step 6: Final answer
    x = 2,381.99

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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.