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Finding the Fourth Proportional to 2,796.45, 4,195.05 and 921.72

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Solution

The fourth proportional to 2,796.45, 4,195.05 and 921.72 is: 1,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.45 : 4,195.05 = 921.72 : x
  2. Step 2: Convert to fraction form
    2,796.45/4,195.05 = 921.72/x
  3. Step 3: Cross multiply
    2,796.45x = 4,195.05 × 921.72
  4. Step 4: Simplify right side
    2,796.45x = 3,866,661.49
  5. Step 5: Solve for x
    x = 3,866,661.49/2,796.45
  6. Step 6: Final answer
    x = 1,382.70

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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.