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Finding the Fourth Proportional to 1,898.18, 2,847.96 and 1,354.62

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Solution

The fourth proportional to 1,898.18, 2,847.96 and 1,354.62 is: 2,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.18 : 2,847.96 = 1,354.62 : x
  2. Step 2: Convert to fraction form
    1,898.18/2,847.96 = 1,354.62/x
  3. Step 3: Cross multiply
    1,898.18x = 2,847.96 × 1,354.62
  4. Step 4: Simplify right side
    1,898.18x = 3,857,914.26
  5. Step 5: Solve for x
    x = 3,857,914.26/1,898.18
  6. Step 6: Final answer
    x = 2,032.42

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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.