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Finding the Fourth Proportional to 2,774.62, 4,160.49 and 1,540.18

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Solution

The fourth proportional to 2,774.62, 4,160.49 and 1,540.18 is: 2,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.62 : 4,160.49 = 1,540.18 : x
  2. Step 2: Convert to fraction form
    2,774.62/4,160.49 = 1,540.18/x
  3. Step 3: Cross multiply
    2,774.62x = 4,160.49 × 1,540.18
  4. Step 4: Simplify right side
    2,774.62x = 6,407,903.49
  5. Step 5: Solve for x
    x = 6,407,903.49/2,774.62
  6. Step 6: Final answer
    x = 2,309.47

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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.