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Finding the Fourth Proportional to 2,949.54, 4,423.23 and 974.81

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Solution

The fourth proportional to 2,949.54, 4,423.23 and 974.81 is: 1,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.54 : 4,423.23 = 974.81 : x
  2. Step 2: Convert to fraction form
    2,949.54/4,423.23 = 974.81/x
  3. Step 3: Cross multiply
    2,949.54x = 4,423.23 × 974.81
  4. Step 4: Simplify right side
    2,949.54x = 4,311,786.72
  5. Step 5: Solve for x
    x = 4,311,786.72/2,949.54
  6. Step 6: Final answer
    x = 1,461.85

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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.