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Finding the Fourth Proportional to 3,051.20, 4,209.60 and 1,809.60

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Solution

The fourth proportional to 3,051.20, 4,209.60 and 1,809.60 is: 2,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.20 : 4,209.60 = 1,809.60 : x
  2. Step 2: Convert to fraction form
    3,051.20/4,209.60 = 1,809.60/x
  3. Step 3: Cross multiply
    3,051.20x = 4,209.60 × 1,809.60
  4. Step 4: Simplify right side
    3,051.20x = 7,617,692.16
  5. Step 5: Solve for x
    x = 7,617,692.16/3,051.20
  6. Step 6: Final answer
    x = 2,496.62

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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.