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Finding the Fourth Proportional to 2,765.87, 3,814.18 and 2,347.37

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Solution

The fourth proportional to 2,765.87, 3,814.18 and 2,347.37 is: 3,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.87 : 3,814.18 = 2,347.37 : x
  2. Step 2: Convert to fraction form
    2,765.87/3,814.18 = 2,347.37/x
  3. Step 3: Cross multiply
    2,765.87x = 3,814.18 × 2,347.37
  4. Step 4: Simplify right side
    2,765.87x = 8,953,260.90
  5. Step 5: Solve for x
    x = 8,953,260.90/2,765.87
  6. Step 6: Final answer
    x = 3,237.06

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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.