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Finding the Fourth Proportional to 2,765.60, 3,813.93 and 2,135.12

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Solution

The fourth proportional to 2,765.60, 3,813.93 and 2,135.12 is: 2,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.60 : 3,813.93 = 2,135.12 : x
  2. Step 2: Convert to fraction form
    2,765.60/3,813.93 = 2,135.12/x
  3. Step 3: Cross multiply
    2,765.60x = 3,813.93 × 2,135.12
  4. Step 4: Simplify right side
    2,765.60x = 8,143,198.22
  5. Step 5: Solve for x
    x = 8,143,198.22/2,765.60
  6. Step 6: Final answer
    x = 2,944.46

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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.