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Finding the Fourth Proportional to 1,899.26, 2,847.06 and 599.84

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Solution

The fourth proportional to 1,899.26, 2,847.06 and 599.84 is: 899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.26 : 2,847.06 = 599.84 : x
  2. Step 2: Convert to fraction form
    1,899.26/2,847.06 = 599.84/x
  3. Step 3: Cross multiply
    1,899.26x = 2,847.06 × 599.84
  4. Step 4: Simplify right side
    1,899.26x = 1,707,766.24
  5. Step 5: Solve for x
    x = 1,707,766.24/1,899.26
  6. Step 6: Final answer
    x = 899.18

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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.