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Finding the Fourth Proportional to 2,893.83, 4,342.12 and 2,005.73

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Solution

The fourth proportional to 2,893.83, 4,342.12 and 2,005.73 is: 3,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.83 : 4,342.12 = 2,005.73 : x
  2. Step 2: Convert to fraction form
    2,893.83/4,342.12 = 2,005.73/x
  3. Step 3: Cross multiply
    2,893.83x = 4,342.12 × 2,005.73
  4. Step 4: Simplify right side
    2,893.83x = 8,709,136.22
  5. Step 5: Solve for x
    x = 8,709,136.22/2,893.83
  6. Step 6: Final answer
    x = 3,009.55

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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.