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Finding the Fourth Proportional to 2,087.59, 2,880.92 and 1,143.43

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Solution

The fourth proportional to 2,087.59, 2,880.92 and 1,143.43 is: 1,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.59 : 2,880.92 = 1,143.43 : x
  2. Step 2: Convert to fraction form
    2,087.59/2,880.92 = 1,143.43/x
  3. Step 3: Cross multiply
    2,087.59x = 2,880.92 × 1,143.43
  4. Step 4: Simplify right side
    2,087.59x = 3,294,122.40
  5. Step 5: Solve for x
    x = 3,294,122.40/2,087.59
  6. Step 6: Final answer
    x = 1,577.95

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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.