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Finding the Fourth Proportional to 2,062.11, 3,093.61 and 601.14

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Solution

The fourth proportional to 2,062.11, 3,093.61 and 601.14 is: 901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.11 : 3,093.61 = 601.14 : x
  2. Step 2: Convert to fraction form
    2,062.11/3,093.61 = 601.14/x
  3. Step 3: Cross multiply
    2,062.11x = 3,093.61 × 601.14
  4. Step 4: Simplify right side
    2,062.11x = 1,859,692.72
  5. Step 5: Solve for x
    x = 1,859,692.72/2,062.11
  6. Step 6: Final answer
    x = 901.84

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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.