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Finding the Fourth Proportional to 2,321.87, 3,203.55 and 1,377.68

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Solution

The fourth proportional to 2,321.87, 3,203.55 and 1,377.68 is: 1,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.87 : 3,203.55 = 1,377.68 : x
  2. Step 2: Convert to fraction form
    2,321.87/3,203.55 = 1,377.68/x
  3. Step 3: Cross multiply
    2,321.87x = 3,203.55 × 1,377.68
  4. Step 4: Simplify right side
    2,321.87x = 4,413,450.75
  5. Step 5: Solve for x
    x = 4,413,450.75/2,321.87
  6. Step 6: Final answer
    x = 1,900.82

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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.