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Finding the Fourth Proportional to 3,220.70, 4,832.40 and 2,406.05

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Solution

The fourth proportional to 3,220.70, 4,832.40 and 2,406.05 is: 3,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.70 : 4,832.40 = 2,406.05 : x
  2. Step 2: Convert to fraction form
    3,220.70/4,832.40 = 2,406.05/x
  3. Step 3: Cross multiply
    3,220.70x = 4,832.40 × 2,406.05
  4. Step 4: Simplify right side
    3,220.70x = 11,626,971.86
  5. Step 5: Solve for x
    x = 11,626,971.86/3,220.70
  6. Step 6: Final answer
    x = 3,610.08

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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.