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Finding the Fourth Proportional to 3,221.48, 4,832.98 and 1,000.20

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Solution

The fourth proportional to 3,221.48, 4,832.98 and 1,000.20 is: 1,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.48 : 4,832.98 = 1,000.20 : x
  2. Step 2: Convert to fraction form
    3,221.48/4,832.98 = 1,000.20/x
  3. Step 3: Cross multiply
    3,221.48x = 4,832.98 × 1,000.20
  4. Step 4: Simplify right side
    3,221.48x = 4,833,946.60
  5. Step 5: Solve for x
    x = 4,833,946.60/3,221.48
  6. Step 6: Final answer
    x = 1,500.54

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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.