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Finding the Fourth Proportional to 1,898.33, 2,847.83 and 910.30

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Solution

The fourth proportional to 1,898.33, 2,847.83 and 910.30 is: 1,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.33 : 2,847.83 = 910.30 : x
  2. Step 2: Convert to fraction form
    1,898.33/2,847.83 = 910.30/x
  3. Step 3: Cross multiply
    1,898.33x = 2,847.83 × 910.30
  4. Step 4: Simplify right side
    1,898.33x = 2,592,375.10
  5. Step 5: Solve for x
    x = 2,592,375.10/1,898.33
  6. Step 6: Final answer
    x = 1,365.61

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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.