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Finding the Fourth Proportional to 2,068.18, 3,101.10 and 681.14

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Solution

The fourth proportional to 2,068.18, 3,101.10 and 681.14 is: 1,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.18 : 3,101.10 = 681.14 : x
  2. Step 2: Convert to fraction form
    2,068.18/3,101.10 = 681.14/x
  3. Step 3: Cross multiply
    2,068.18x = 3,101.10 × 681.14
  4. Step 4: Simplify right side
    2,068.18x = 2,112,292.28
  5. Step 5: Solve for x
    x = 2,112,292.28/2,068.18
  6. Step 6: Final answer
    x = 1,021.33

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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.