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Finding the Fourth Proportional to 2,068.07, 3,101.35 and 681.15

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Solution

The fourth proportional to 2,068.07, 3,101.35 and 681.15 is: 1,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.07 : 3,101.35 = 681.15 : x
  2. Step 2: Convert to fraction form
    2,068.07/3,101.35 = 681.15/x
  3. Step 3: Cross multiply
    2,068.07x = 3,101.35 × 681.15
  4. Step 4: Simplify right side
    2,068.07x = 2,112,484.55
  5. Step 5: Solve for x
    x = 2,112,484.55/2,068.07
  6. Step 6: Final answer
    x = 1,021.48

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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.