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Finding the Fourth Proportional to 2,068.59, 3,102.64 and 681.94

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Solution

The fourth proportional to 2,068.59, 3,102.64 and 681.94 is: 1,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.59 : 3,102.64 = 681.94 : x
  2. Step 2: Convert to fraction form
    2,068.59/3,102.64 = 681.94/x
  3. Step 3: Cross multiply
    2,068.59x = 3,102.64 × 681.94
  4. Step 4: Simplify right side
    2,068.59x = 2,115,814.32
  5. Step 5: Solve for x
    x = 2,115,814.32/2,068.59
  6. Step 6: Final answer
    x = 1,022.83

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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.