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Finding the Fourth Proportional to 2,099.99, 3,149.91 and 639.15

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Solution

The fourth proportional to 2,099.99, 3,149.91 and 639.15 is: 958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.99 : 3,149.91 = 639.15 : x
  2. Step 2: Convert to fraction form
    2,099.99/3,149.91 = 639.15/x
  3. Step 3: Cross multiply
    2,099.99x = 3,149.91 × 639.15
  4. Step 4: Simplify right side
    2,099.99x = 2,013,264.98
  5. Step 5: Solve for x
    x = 2,013,264.98/2,099.99
  6. Step 6: Final answer
    x = 958.70

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1.5x scale

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.