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Finding the Fourth Proportional to 3,096.97, 4,271.95 and 1,977.50

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Solution

The fourth proportional to 3,096.97, 4,271.95 and 1,977.50 is: 2,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.97 : 4,271.95 = 1,977.50 : x
  2. Step 2: Convert to fraction form
    3,096.97/4,271.95 = 1,977.50/x
  3. Step 3: Cross multiply
    3,096.97x = 4,271.95 × 1,977.50
  4. Step 4: Simplify right side
    3,096.97x = 8,447,781.13
  5. Step 5: Solve for x
    x = 8,447,781.13/3,096.97
  6. Step 6: Final answer
    x = 2,727.76

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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.