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Finding the Fourth Proportional to 2,074.26, 2,863.05 and 1,412.22

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Solution

The fourth proportional to 2,074.26, 2,863.05 and 1,412.22 is: 1,949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.26 : 2,863.05 = 1,412.22 : x
  2. Step 2: Convert to fraction form
    2,074.26/2,863.05 = 1,412.22/x
  3. Step 3: Cross multiply
    2,074.26x = 2,863.05 × 1,412.22
  4. Step 4: Simplify right side
    2,074.26x = 4,043,256.47
  5. Step 5: Solve for x
    x = 4,043,256.47/2,074.26
  6. Step 6: Final answer
    x = 1,949.25

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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.