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Finding the Fourth Proportional to 2,133.98, 3,201.11 and 901.23

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Solution

The fourth proportional to 2,133.98, 3,201.11 and 901.23 is: 1,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.98 : 3,201.11 = 901.23 : x
  2. Step 2: Convert to fraction form
    2,133.98/3,201.11 = 901.23/x
  3. Step 3: Cross multiply
    2,133.98x = 3,201.11 × 901.23
  4. Step 4: Simplify right side
    2,133.98x = 2,884,935.24
  5. Step 5: Solve for x
    x = 2,884,935.24/2,133.98
  6. Step 6: Final answer
    x = 1,351.90

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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.