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Finding the Fourth Proportional to 1,898.42, 2,847.90 and 665.55

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Solution

The fourth proportional to 1,898.42, 2,847.90 and 665.55 is: 998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.42 : 2,847.90 = 665.55 : x
  2. Step 2: Convert to fraction form
    1,898.42/2,847.90 = 665.55/x
  3. Step 3: Cross multiply
    1,898.42x = 2,847.90 × 665.55
  4. Step 4: Simplify right side
    1,898.42x = 1,895,419.85
  5. Step 5: Solve for x
    x = 1,895,419.85/1,898.42
  6. Step 6: Final answer
    x = 998.42

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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.