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Finding the Fourth Proportional to 3,191.82, 4,792.26 and 1,807.88

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Solution

The fourth proportional to 3,191.82, 4,792.26 and 1,807.88 is: 2,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.82 : 4,792.26 = 1,807.88 : x
  2. Step 2: Convert to fraction form
    3,191.82/4,792.26 = 1,807.88/x
  3. Step 3: Cross multiply
    3,191.82x = 4,792.26 × 1,807.88
  4. Step 4: Simplify right side
    3,191.82x = 8,663,807.05
  5. Step 5: Solve for x
    x = 8,663,807.05/3,191.82
  6. Step 6: Final answer
    x = 2,714.38

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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.