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Finding the Fourth Proportional to 3,267.30, 4,894.77 and 1,621.90

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Solution

The fourth proportional to 3,267.30, 4,894.77 and 1,621.90 is: 2,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.30 : 4,894.77 = 1,621.90 : x
  2. Step 2: Convert to fraction form
    3,267.30/4,894.77 = 1,621.90/x
  3. Step 3: Cross multiply
    3,267.30x = 4,894.77 × 1,621.90
  4. Step 4: Simplify right side
    3,267.30x = 7,938,827.46
  5. Step 5: Solve for x
    x = 7,938,827.46/3,267.30
  6. Step 6: Final answer
    x = 2,429.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.