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Finding the Fourth Proportional to 2,062.29, 3,093.95 and 601.46

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Solution

The fourth proportional to 2,062.29, 3,093.95 and 601.46 is: 902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.29 : 3,093.95 = 601.46 : x
  2. Step 2: Convert to fraction form
    2,062.29/3,093.95 = 601.46/x
  3. Step 3: Cross multiply
    2,062.29x = 3,093.95 × 601.46
  4. Step 4: Simplify right side
    2,062.29x = 1,860,868.69
  5. Step 5: Solve for x
    x = 1,860,868.69/2,062.29
  6. Step 6: Final answer
    x = 902.33

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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.