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Finding the Fourth Proportional to 3,207.44, 4,807.22 and 1,821.93

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Solution

The fourth proportional to 3,207.44, 4,807.22 and 1,821.93 is: 2,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.44 : 4,807.22 = 1,821.93 : x
  2. Step 2: Convert to fraction form
    3,207.44/4,807.22 = 1,821.93/x
  3. Step 3: Cross multiply
    3,207.44x = 4,807.22 × 1,821.93
  4. Step 4: Simplify right side
    3,207.44x = 8,758,409.22
  5. Step 5: Solve for x
    x = 8,758,409.22/3,207.44
  6. Step 6: Final answer
    x = 2,730.66

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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.