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Finding the Fourth Proportional to 3,204.75, 4,422.84 and 1,807.77

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Solution

The fourth proportional to 3,204.75, 4,422.84 and 1,807.77 is: 2,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.75 : 4,422.84 = 1,807.77 : x
  2. Step 2: Convert to fraction form
    3,204.75/4,422.84 = 1,807.77/x
  3. Step 3: Cross multiply
    3,204.75x = 4,422.84 × 1,807.77
  4. Step 4: Simplify right side
    3,204.75x = 7,995,477.47
  5. Step 5: Solve for x
    x = 7,995,477.47/3,204.75
  6. Step 6: Final answer
    x = 2,494.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.