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Finding the Fourth Proportional to 2,353.40, 3,530.10 and 2,022.20

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Solution

The fourth proportional to 2,353.40, 3,530.10 and 2,022.20 is: 3,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.40 : 3,530.10 = 2,022.20 : x
  2. Step 2: Convert to fraction form
    2,353.40/3,530.10 = 2,022.20/x
  3. Step 3: Cross multiply
    2,353.40x = 3,530.10 × 2,022.20
  4. Step 4: Simplify right side
    2,353.40x = 7,138,568.22
  5. Step 5: Solve for x
    x = 7,138,568.22/2,353.40
  6. Step 6: Final answer
    x = 3,033.30

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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.