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Finding the Fourth Proportional to 2,074.74, 2,863.21 and 1,143.26

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Solution

The fourth proportional to 2,074.74, 2,863.21 and 1,143.26 is: 1,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.74 : 2,863.21 = 1,143.26 : x
  2. Step 2: Convert to fraction form
    2,074.74/2,863.21 = 1,143.26/x
  3. Step 3: Cross multiply
    2,074.74x = 2,863.21 × 1,143.26
  4. Step 4: Simplify right side
    2,074.74x = 3,273,393.46
  5. Step 5: Solve for x
    x = 3,273,393.46/2,074.74
  6. Step 6: Final answer
    x = 1,577.74

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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.