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Finding the Fourth Proportional to 1,639.35, 2,262.31 and 893.31

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Solution

The fourth proportional to 1,639.35, 2,262.31 and 893.31 is: 1,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.35 : 2,262.31 = 893.31 : x
  2. Step 2: Convert to fraction form
    1,639.35/2,262.31 = 893.31/x
  3. Step 3: Cross multiply
    1,639.35x = 2,262.31 × 893.31
  4. Step 4: Simplify right side
    1,639.35x = 2,020,933.43
  5. Step 5: Solve for x
    x = 2,020,933.43/1,639.35
  6. Step 6: Final answer
    x = 1,232.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.