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Finding the Fourth Proportional to 2,296.05, 3,169.02 and 1,412.74

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Solution

The fourth proportional to 2,296.05, 3,169.02 and 1,412.74 is: 1,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.05 : 3,169.02 = 1,412.74 : x
  2. Step 2: Convert to fraction form
    2,296.05/3,169.02 = 1,412.74/x
  3. Step 3: Cross multiply
    2,296.05x = 3,169.02 × 1,412.74
  4. Step 4: Simplify right side
    2,296.05x = 4,477,010.57
  5. Step 5: Solve for x
    x = 4,477,010.57/2,296.05
  6. Step 6: Final answer
    x = 1,949.88

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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.