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Finding the Fourth Proportional to 1,441.83, 2,163.45 and 893.87

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Solution

The fourth proportional to 1,441.83, 2,163.45 and 893.87 is: 1,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.83 : 2,163.45 = 893.87 : x
  2. Step 2: Convert to fraction form
    1,441.83/2,163.45 = 893.87/x
  3. Step 3: Cross multiply
    1,441.83x = 2,163.45 × 893.87
  4. Step 4: Simplify right side
    1,441.83x = 1,933,832.23
  5. Step 5: Solve for x
    x = 1,933,832.23/1,441.83
  6. Step 6: Final answer
    x = 1,341.23

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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.