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Finding the Fourth Proportional to 2,591.72, 3,887.91 and 949.04

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Solution

The fourth proportional to 2,591.72, 3,887.91 and 949.04 is: 1,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.72 : 3,887.91 = 949.04 : x
  2. Step 2: Convert to fraction form
    2,591.72/3,887.91 = 949.04/x
  3. Step 3: Cross multiply
    2,591.72x = 3,887.91 × 949.04
  4. Step 4: Simplify right side
    2,591.72x = 3,689,782.11
  5. Step 5: Solve for x
    x = 3,689,782.11/2,591.72
  6. Step 6: Final answer
    x = 1,423.68

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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.