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Finding the Fourth Proportional to 2,796.36, 4,194.66 and 1,562.76

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Solution

The fourth proportional to 2,796.36, 4,194.66 and 1,562.76 is: 2,344.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.36 : 4,194.66 = 1,562.76 : x
  2. Step 2: Convert to fraction form
    2,796.36/4,194.66 = 1,562.76/x
  3. Step 3: Cross multiply
    2,796.36x = 4,194.66 × 1,562.76
  4. Step 4: Simplify right side
    2,796.36x = 6,555,246.86
  5. Step 5: Solve for x
    x = 6,555,246.86/2,796.36
  6. Step 6: Final answer
    x = 2,344.21

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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.