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Finding the Fourth Proportional to 2,795.14, 4,193.13 and 945.76

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Solution

The fourth proportional to 2,795.14, 4,193.13 and 945.76 is: 1,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.14 : 4,193.13 = 945.76 : x
  2. Step 2: Convert to fraction form
    2,795.14/4,193.13 = 945.76/x
  3. Step 3: Cross multiply
    2,795.14x = 4,193.13 × 945.76
  4. Step 4: Simplify right side
    2,795.14x = 3,965,694.63
  5. Step 5: Solve for x
    x = 3,965,694.63/2,795.14
  6. Step 6: Final answer
    x = 1,418.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.