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Finding the Fourth Proportional to 2,099.04, 3,149.15 and 850.02

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Solution

The fourth proportional to 2,099.04, 3,149.15 and 850.02 is: 1,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.04 : 3,149.15 = 850.02 : x
  2. Step 2: Convert to fraction form
    2,099.04/3,149.15 = 850.02/x
  3. Step 3: Cross multiply
    2,099.04x = 3,149.15 × 850.02
  4. Step 4: Simplify right side
    2,099.04x = 2,676,836.23
  5. Step 5: Solve for x
    x = 2,676,836.23/2,099.04
  6. Step 6: Final answer
    x = 1,275.27

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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.