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Finding the Fourth Proportional to 3,204.48, 4,808.16 and 1,473.60

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Solution

The fourth proportional to 3,204.48, 4,808.16 and 1,473.60 is: 2,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.48 : 4,808.16 = 1,473.60 : x
  2. Step 2: Convert to fraction form
    3,204.48/4,808.16 = 1,473.60/x
  3. Step 3: Cross multiply
    3,204.48x = 4,808.16 × 1,473.60
  4. Step 4: Simplify right side
    3,204.48x = 7,085,304.58
  5. Step 5: Solve for x
    x = 7,085,304.58/3,204.48
  6. Step 6: Final answer
    x = 2,211.06

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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.