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Finding the Fourth Proportional to 2,201.16, 3,298.84 and 901.92

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Solution

The fourth proportional to 2,201.16, 3,298.84 and 901.92 is: 1,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.16 : 3,298.84 = 901.92 : x
  2. Step 2: Convert to fraction form
    2,201.16/3,298.84 = 901.92/x
  3. Step 3: Cross multiply
    2,201.16x = 3,298.84 × 901.92
  4. Step 4: Simplify right side
    2,201.16x = 2,975,289.77
  5. Step 5: Solve for x
    x = 2,975,289.77/2,201.16
  6. Step 6: Final answer
    x = 1,351.69

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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.