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Finding the Fourth Proportional to 3,362.21, 4,636.66 and 2,017.61

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Solution

The fourth proportional to 3,362.21, 4,636.66 and 2,017.61 is: 2,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.21 : 4,636.66 = 2,017.61 : x
  2. Step 2: Convert to fraction form
    3,362.21/4,636.66 = 2,017.61/x
  3. Step 3: Cross multiply
    3,362.21x = 4,636.66 × 2,017.61
  4. Step 4: Simplify right side
    3,362.21x = 9,354,971.58
  5. Step 5: Solve for x
    x = 9,354,971.58/3,362.21
  6. Step 6: Final answer
    x = 2,782.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.