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Finding the Fourth Proportional to 4,904.34, 7,356.78 and 1,982.67

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Solution

The fourth proportional to 4,904.34, 7,356.78 and 1,982.67 is: 2,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,904.34 : 7,356.78 = 1,982.67 : x
  2. Step 2: Convert to fraction form
    4,904.34/7,356.78 = 1,982.67/x
  3. Step 3: Cross multiply
    4,904.34x = 7,356.78 × 1,982.67
  4. Step 4: Simplify right side
    4,904.34x = 14,586,067.00
  5. Step 5: Solve for x
    x = 14,586,067.00/4,904.34
  6. Step 6: Final answer
    x = 2,974.11

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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.