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Finding the Fourth Proportional to 2,285.02, 3,429.04 and 2,099.14

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Solution

The fourth proportional to 2,285.02, 3,429.04 and 2,099.14 is: 3,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.02 : 3,429.04 = 2,099.14 : x
  2. Step 2: Convert to fraction form
    2,285.02/3,429.04 = 2,099.14/x
  3. Step 3: Cross multiply
    2,285.02x = 3,429.04 × 2,099.14
  4. Step 4: Simplify right side
    2,285.02x = 7,198,035.03
  5. Step 5: Solve for x
    x = 7,198,035.03/2,285.02
  6. Step 6: Final answer
    x = 3,150.10

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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.