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Finding the Fourth Proportional to 1,898.18, 2,843.85 and 1,783.82

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Solution

The fourth proportional to 1,898.18, 2,843.85 and 1,783.82 is: 2,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.18 : 2,843.85 = 1,783.82 : x
  2. Step 2: Convert to fraction form
    1,898.18/2,843.85 = 1,783.82/x
  3. Step 3: Cross multiply
    1,898.18x = 2,843.85 × 1,783.82
  4. Step 4: Simplify right side
    1,898.18x = 5,072,902.29
  5. Step 5: Solve for x
    x = 5,072,902.29/1,898.18
  6. Step 6: Final answer
    x = 2,672.51

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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.