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Finding the Fourth Proportional to 1,898.09, 2,847.41 and 599.26

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Solution

The fourth proportional to 1,898.09, 2,847.41 and 599.26 is: 898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.09 : 2,847.41 = 599.26 : x
  2. Step 2: Convert to fraction form
    1,898.09/2,847.41 = 599.26/x
  3. Step 3: Cross multiply
    1,898.09x = 2,847.41 × 599.26
  4. Step 4: Simplify right side
    1,898.09x = 1,706,338.92
  5. Step 5: Solve for x
    x = 1,706,338.92/1,898.09
  6. Step 6: Final answer
    x = 898.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.