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Finding the Fourth Proportional to 2,074.93, 2,863.40 and 1,143.43

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Solution

The fourth proportional to 2,074.93, 2,863.40 and 1,143.43 is: 1,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.93 : 2,863.40 = 1,143.43 : x
  2. Step 2: Convert to fraction form
    2,074.93/2,863.40 = 1,143.43/x
  3. Step 3: Cross multiply
    2,074.93x = 2,863.40 × 1,143.43
  4. Step 4: Simplify right side
    2,074.93x = 3,274,084.59
  5. Step 5: Solve for x
    x = 3,274,084.59/2,074.93
  6. Step 6: Final answer
    x = 1,577.93

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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.