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Finding the Fourth Proportional to 2,068.84, 3,097.95 and 1,143.37

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Solution

The fourth proportional to 2,068.84, 3,097.95 and 1,143.37 is: 1,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.84 : 3,097.95 = 1,143.37 : x
  2. Step 2: Convert to fraction form
    2,068.84/3,097.95 = 1,143.37/x
  3. Step 3: Cross multiply
    2,068.84x = 3,097.95 × 1,143.37
  4. Step 4: Simplify right side
    2,068.84x = 3,542,103.09
  5. Step 5: Solve for x
    x = 3,542,103.09/2,068.84
  6. Step 6: Final answer
    x = 1,712.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.