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Finding the Fourth Proportional to 3,364.77, 4,645.50 and 2,170.20

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Solution

The fourth proportional to 3,364.77, 4,645.50 and 2,170.20 is: 2,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.77 : 4,645.50 = 2,170.20 : x
  2. Step 2: Convert to fraction form
    3,364.77/4,645.50 = 2,170.20/x
  3. Step 3: Cross multiply
    3,364.77x = 4,645.50 × 2,170.20
  4. Step 4: Simplify right side
    3,364.77x = 10,081,664.10
  5. Step 5: Solve for x
    x = 10,081,664.10/3,364.77
  6. Step 6: Final answer
    x = 2,996.24

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