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Finding the Fourth Proportional to 2,145.52, 3,205.70 and 2,099.44

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Solution

The fourth proportional to 2,145.52, 3,205.70 and 2,099.44 is: 3,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.52 : 3,205.70 = 2,099.44 : x
  2. Step 2: Convert to fraction form
    2,145.52/3,205.70 = 2,099.44/x
  3. Step 3: Cross multiply
    2,145.52x = 3,205.70 × 2,099.44
  4. Step 4: Simplify right side
    2,145.52x = 6,730,174.81
  5. Step 5: Solve for x
    x = 6,730,174.81/2,145.52
  6. Step 6: Final answer
    x = 3,136.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.