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Finding the Fourth Proportional to 2,754.96, 4,132.95 and 906.15

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Solution

The fourth proportional to 2,754.96, 4,132.95 and 906.15 is: 1,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.96 : 4,132.95 = 906.15 : x
  2. Step 2: Convert to fraction form
    2,754.96/4,132.95 = 906.15/x
  3. Step 3: Cross multiply
    2,754.96x = 4,132.95 × 906.15
  4. Step 4: Simplify right side
    2,754.96x = 3,745,072.64
  5. Step 5: Solve for x
    x = 3,745,072.64/2,754.96
  6. Step 6: Final answer
    x = 1,359.39

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Why These Related Problems?

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