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Finding the Fourth Proportional to 2,756.20, 4,134.71 and 906.97

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Solution

The fourth proportional to 2,756.20, 4,134.71 and 906.97 is: 1,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.20 : 4,134.71 = 906.97 : x
  2. Step 2: Convert to fraction form
    2,756.20/4,134.71 = 906.97/x
  3. Step 3: Cross multiply
    2,756.20x = 4,134.71 × 906.97
  4. Step 4: Simplify right side
    2,756.20x = 3,750,057.93
  5. Step 5: Solve for x
    x = 3,750,057.93/2,756.20
  6. Step 6: Final answer
    x = 1,360.59

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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.