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Finding the Fourth Proportional to 2,163.37, 2,984.99 and 1,377.57

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Solution

The fourth proportional to 2,163.37, 2,984.99 and 1,377.57 is: 1,900.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.37 : 2,984.99 = 1,377.57 : x
  2. Step 2: Convert to fraction form
    2,163.37/2,984.99 = 1,377.57/x
  3. Step 3: Cross multiply
    2,163.37x = 2,984.99 × 1,377.57
  4. Step 4: Simplify right side
    2,163.37x = 4,112,032.67
  5. Step 5: Solve for x
    x = 4,112,032.67/2,163.37
  6. Step 6: Final answer
    x = 1,900.75

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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.