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Finding the Fourth Proportional to 3,096.67, 4,271.98 and 1,977.05

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Solution

The fourth proportional to 3,096.67, 4,271.98 and 1,977.05 is: 2,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.67 : 4,271.98 = 1,977.05 : x
  2. Step 2: Convert to fraction form
    3,096.67/4,271.98 = 1,977.05/x
  3. Step 3: Cross multiply
    3,096.67x = 4,271.98 × 1,977.05
  4. Step 4: Simplify right side
    3,096.67x = 8,445,903.47
  5. Step 5: Solve for x
    x = 8,445,903.47/3,096.67
  6. Step 6: Final answer
    x = 2,727.42

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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.