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Finding the Fourth Proportional to 1,898.15, 2,847.65 and 665.60

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Solution

The fourth proportional to 1,898.15, 2,847.65 and 665.60 is: 998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.15 : 2,847.65 = 665.60 : x
  2. Step 2: Convert to fraction form
    1,898.15/2,847.65 = 665.60/x
  3. Step 3: Cross multiply
    1,898.15x = 2,847.65 × 665.60
  4. Step 4: Simplify right side
    1,898.15x = 1,895,378.27
  5. Step 5: Solve for x
    x = 1,895,378.27/1,898.15
  6. Step 6: Final answer
    x = 998.54

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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.