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Finding the Fourth Proportional to 3,102.67, 4,277.71 and 1,981.74

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Solution

The fourth proportional to 3,102.67, 4,277.71 and 1,981.74 is: 2,732.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.67 : 4,277.71 = 1,981.74 : x
  2. Step 2: Convert to fraction form
    3,102.67/4,277.71 = 1,981.74/x
  3. Step 3: Cross multiply
    3,102.67x = 4,277.71 × 1,981.74
  4. Step 4: Simplify right side
    3,102.67x = 8,477,309.02
  5. Step 5: Solve for x
    x = 8,477,309.02/3,102.67
  6. Step 6: Final answer
    x = 2,732.26

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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.