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Finding the Fourth Proportional to 2,296.80, 3,169.14 and 1,302.12

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Solution

The fourth proportional to 2,296.80, 3,169.14 and 1,302.12 is: 1,796.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.80 : 3,169.14 = 1,302.12 : x
  2. Step 2: Convert to fraction form
    2,296.80/3,169.14 = 1,302.12/x
  3. Step 3: Cross multiply
    2,296.80x = 3,169.14 × 1,302.12
  4. Step 4: Simplify right side
    2,296.80x = 4,126,600.58
  5. Step 5: Solve for x
    x = 4,126,600.58/2,296.80
  6. Step 6: Final answer
    x = 1,796.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.