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Finding the Fourth Proportional to 2,068.84, 3,097.98 and 1,143.38

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Solution

The fourth proportional to 2,068.84, 3,097.98 and 1,143.38 is: 1,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.84 : 3,097.98 = 1,143.38 : x
  2. Step 2: Convert to fraction form
    2,068.84/3,097.98 = 1,143.38/x
  3. Step 3: Cross multiply
    2,068.84x = 3,097.98 × 1,143.38
  4. Step 4: Simplify right side
    2,068.84x = 3,542,176.12
  5. Step 5: Solve for x
    x = 3,542,176.12/2,068.84
  6. Step 6: Final answer
    x = 1,712.15

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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.