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Finding the Fourth Proportional to 2,163.69, 2,986.34 and 1,377.59

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Solution

The fourth proportional to 2,163.69, 2,986.34 and 1,377.59 is: 1,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.69 : 2,986.34 = 1,377.59 : x
  2. Step 2: Convert to fraction form
    2,163.69/2,986.34 = 1,377.59/x
  3. Step 3: Cross multiply
    2,163.69x = 2,986.34 × 1,377.59
  4. Step 4: Simplify right side
    2,163.69x = 4,113,930.30
  5. Step 5: Solve for x
    x = 4,113,930.30/2,163.69
  6. Step 6: Final answer
    x = 1,901.35

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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.