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Finding the Fourth Proportional to 1,893.96, 2,841.21 and 662.09

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Solution

The fourth proportional to 1,893.96, 2,841.21 and 662.09 is: 993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.96 : 2,841.21 = 662.09 : x
  2. Step 2: Convert to fraction form
    1,893.96/2,841.21 = 662.09/x
  3. Step 3: Cross multiply
    1,893.96x = 2,841.21 × 662.09
  4. Step 4: Simplify right side
    1,893.96x = 1,881,122.52
  5. Step 5: Solve for x
    x = 1,881,122.52/1,893.96
  6. Step 6: Final answer
    x = 993.22

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1.5x scale

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.