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Finding the Fourth Proportional to 2,974.50, 4,099.15 and 2,178.07

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Solution

The fourth proportional to 2,974.50, 4,099.15 and 2,178.07 is: 3,001.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.50 : 4,099.15 = 2,178.07 : x
  2. Step 2: Convert to fraction form
    2,974.50/4,099.15 = 2,178.07/x
  3. Step 3: Cross multiply
    2,974.50x = 4,099.15 × 2,178.07
  4. Step 4: Simplify right side
    2,974.50x = 8,928,228.12
  5. Step 5: Solve for x
    x = 8,928,228.12/2,974.50
  6. Step 6: Final answer
    x = 3,001.59

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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.