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Finding the Fourth Proportional to 3,154.88, 4,731.97 and 1,399.91

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Solution

The fourth proportional to 3,154.88, 4,731.97 and 1,399.91 is: 2,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.88 : 4,731.97 = 1,399.91 : x
  2. Step 2: Convert to fraction form
    3,154.88/4,731.97 = 1,399.91/x
  3. Step 3: Cross multiply
    3,154.88x = 4,731.97 × 1,399.91
  4. Step 4: Simplify right side
    3,154.88x = 6,624,332.12
  5. Step 5: Solve for x
    x = 6,624,332.12/3,154.88
  6. Step 6: Final answer
    x = 2,099.71

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Why These Related Problems?

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