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Finding the Fourth Proportional to 1,726.82, 2,384.15 and 1,327.77

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Solution

The fourth proportional to 1,726.82, 2,384.15 and 1,327.77 is: 1,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.82 : 2,384.15 = 1,327.77 : x
  2. Step 2: Convert to fraction form
    1,726.82/2,384.15 = 1,327.77/x
  3. Step 3: Cross multiply
    1,726.82x = 2,384.15 × 1,327.77
  4. Step 4: Simplify right side
    1,726.82x = 3,165,596.21
  5. Step 5: Solve for x
    x = 3,165,596.21/1,726.82
  6. Step 6: Final answer
    x = 1,833.20

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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.