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Finding the Fourth Proportional to 1,722.58, 2,377.90 and 1,163.82

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Solution

The fourth proportional to 1,722.58, 2,377.90 and 1,163.82 is: 1,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.58 : 2,377.90 = 1,163.82 : x
  2. Step 2: Convert to fraction form
    1,722.58/2,377.90 = 1,163.82/x
  3. Step 3: Cross multiply
    1,722.58x = 2,377.90 × 1,163.82
  4. Step 4: Simplify right side
    1,722.58x = 2,767,447.58
  5. Step 5: Solve for x
    x = 2,767,447.58/1,722.58
  6. Step 6: Final answer
    x = 1,606.57

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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.