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Finding the Fourth Proportional to 2,768.72, 3,817.14 and 1,981.40

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Solution

The fourth proportional to 2,768.72, 3,817.14 and 1,981.40 is: 2,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.72 : 3,817.14 = 1,981.40 : x
  2. Step 2: Convert to fraction form
    2,768.72/3,817.14 = 1,981.40/x
  3. Step 3: Cross multiply
    2,768.72x = 3,817.14 × 1,981.40
  4. Step 4: Simplify right side
    2,768.72x = 7,563,281.20
  5. Step 5: Solve for x
    x = 7,563,281.20/2,768.72
  6. Step 6: Final answer
    x = 2,731.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.