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Finding the Fourth Proportional to 1,898.62, 2,847.72 and 599.98

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Solution

The fourth proportional to 1,898.62, 2,847.72 and 599.98 is: 899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.62 : 2,847.72 = 599.98 : x
  2. Step 2: Convert to fraction form
    1,898.62/2,847.72 = 599.98/x
  3. Step 3: Cross multiply
    1,898.62x = 2,847.72 × 599.98
  4. Step 4: Simplify right side
    1,898.62x = 1,708,575.05
  5. Step 5: Solve for x
    x = 1,708,575.05/1,898.62
  6. Step 6: Final answer
    x = 899.90

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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.