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Finding the Fourth Proportional to 3,200.60, 4,794.53 and 1,552.16

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Solution

The fourth proportional to 3,200.60, 4,794.53 and 1,552.16 is: 2,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.60 : 4,794.53 = 1,552.16 : x
  2. Step 2: Convert to fraction form
    3,200.60/4,794.53 = 1,552.16/x
  3. Step 3: Cross multiply
    3,200.60x = 4,794.53 × 1,552.16
  4. Step 4: Simplify right side
    3,200.60x = 7,441,845.95
  5. Step 5: Solve for x
    x = 7,441,845.95/3,200.60
  6. Step 6: Final answer
    x = 2,325.14

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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.