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Finding the Fourth Proportional to 2,068.73, 3,103.10 and 836.14

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Solution

The fourth proportional to 2,068.73, 3,103.10 and 836.14 is: 1,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.73 : 3,103.10 = 836.14 : x
  2. Step 2: Convert to fraction form
    2,068.73/3,103.10 = 836.14/x
  3. Step 3: Cross multiply
    2,068.73x = 3,103.10 × 836.14
  4. Step 4: Simplify right side
    2,068.73x = 2,594,635.48
  5. Step 5: Solve for x
    x = 2,594,635.48/2,068.73
  6. Step 6: Final answer
    x = 1,254.21

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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.