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Finding the Fourth Proportional to 2,796.72, 4,194.46 and 1,697.14

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Solution

The fourth proportional to 2,796.72, 4,194.46 and 1,697.14 is: 2,545.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796.72 : 4,194.46 = 1,697.14 : x
  2. Step 2: Convert to fraction form
    2,796.72/4,194.46 = 1,697.14/x
  3. Step 3: Cross multiply
    2,796.72x = 4,194.46 × 1,697.14
  4. Step 4: Simplify right side
    2,796.72x = 7,118,585.84
  5. Step 5: Solve for x
    x = 7,118,585.84/2,796.72
  6. Step 6: Final answer
    x = 2,545.33

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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.