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Finding the Fourth Proportional to 2,694.08, 4,042.08 and 1,154.24

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Solution

The fourth proportional to 2,694.08, 4,042.08 and 1,154.24 is: 1,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.08 : 4,042.08 = 1,154.24 : x
  2. Step 2: Convert to fraction form
    2,694.08/4,042.08 = 1,154.24/x
  3. Step 3: Cross multiply
    2,694.08x = 4,042.08 × 1,154.24
  4. Step 4: Simplify right side
    2,694.08x = 4,665,530.42
  5. Step 5: Solve for x
    x = 4,665,530.42/2,694.08
  6. Step 6: Final answer
    x = 1,731.77

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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.