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Finding the Fourth Proportional to 2,194.73, 3,291.77 and 713.75

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Solution

The fourth proportional to 2,194.73, 3,291.77 and 713.75 is: 1,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.73 : 3,291.77 = 713.75 : x
  2. Step 2: Convert to fraction form
    2,194.73/3,291.77 = 713.75/x
  3. Step 3: Cross multiply
    2,194.73x = 3,291.77 × 713.75
  4. Step 4: Simplify right side
    2,194.73x = 2,349,500.84
  5. Step 5: Solve for x
    x = 2,349,500.84/2,194.73
  6. Step 6: Final answer
    x = 1,070.52

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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.