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Finding the Fourth Proportional to 3,200.16, 4,800.60 and 1,008.24

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Solution

The fourth proportional to 3,200.16, 4,800.60 and 1,008.24 is: 1,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.16 : 4,800.60 = 1,008.24 : x
  2. Step 2: Convert to fraction form
    3,200.16/4,800.60 = 1,008.24/x
  3. Step 3: Cross multiply
    3,200.16x = 4,800.60 × 1,008.24
  4. Step 4: Simplify right side
    3,200.16x = 4,840,156.94
  5. Step 5: Solve for x
    x = 4,840,156.94/3,200.16
  6. Step 6: Final answer
    x = 1,512.47

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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.