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Finding the Fourth Proportional to 3,145.87, 4,346.94 and 2,260.14

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Solution

The fourth proportional to 3,145.87, 4,346.94 and 2,260.14 is: 3,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.87 : 4,346.94 = 2,260.14 : x
  2. Step 2: Convert to fraction form
    3,145.87/4,346.94 = 2,260.14/x
  3. Step 3: Cross multiply
    3,145.87x = 4,346.94 × 2,260.14
  4. Step 4: Simplify right side
    3,145.87x = 9,824,692.97
  5. Step 5: Solve for x
    x = 9,824,692.97/3,145.87
  6. Step 6: Final answer
    x = 3,123.04

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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.