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Finding the Fourth Proportional to 1,892.92, 2,841.41 and 1,601.77

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Solution

The fourth proportional to 1,892.92, 2,841.41 and 1,601.77 is: 2,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.92 : 2,841.41 = 1,601.77 : x
  2. Step 2: Convert to fraction form
    1,892.92/2,841.41 = 1,601.77/x
  3. Step 3: Cross multiply
    1,892.92x = 2,841.41 × 1,601.77
  4. Step 4: Simplify right side
    1,892.92x = 4,551,285.30
  5. Step 5: Solve for x
    x = 4,551,285.30/1,892.92
  6. Step 6: Final answer
    x = 2,404.37

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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.