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Finding the Fourth Proportional to 2,449.14, 3,672.75 and 1,930.14

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Solution

The fourth proportional to 2,449.14, 3,672.75 and 1,930.14 is: 2,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.14 : 3,672.75 = 1,930.14 : x
  2. Step 2: Convert to fraction form
    2,449.14/3,672.75 = 1,930.14/x
  3. Step 3: Cross multiply
    2,449.14x = 3,672.75 × 1,930.14
  4. Step 4: Simplify right side
    2,449.14x = 7,088,921.69
  5. Step 5: Solve for x
    x = 7,088,921.69/2,449.14
  6. Step 6: Final answer
    x = 2,894.45

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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.