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Finding the Fourth Proportional to 3,098.54, 4,647.81 and 2,178.21

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Solution

The fourth proportional to 3,098.54, 4,647.81 and 2,178.21 is: 3,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.54 : 4,647.81 = 2,178.21 : x
  2. Step 2: Convert to fraction form
    3,098.54/4,647.81 = 2,178.21/x
  3. Step 3: Cross multiply
    3,098.54x = 4,647.81 × 2,178.21
  4. Step 4: Simplify right side
    3,098.54x = 10,123,931.82
  5. Step 5: Solve for x
    x = 10,123,931.82/3,098.54
  6. Step 6: Final answer
    x = 3,267.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.