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Finding the Fourth Proportional to 1,639.25, 2,262.14 and 893.22

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Solution

The fourth proportional to 1,639.25, 2,262.14 and 893.22 is: 1,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.25 : 2,262.14 = 893.22 : x
  2. Step 2: Convert to fraction form
    1,639.25/2,262.14 = 893.22/x
  3. Step 3: Cross multiply
    1,639.25x = 2,262.14 × 893.22
  4. Step 4: Simplify right side
    1,639.25x = 2,020,577.97
  5. Step 5: Solve for x
    x = 2,020,577.97/1,639.25
  6. Step 6: Final answer
    x = 1,232.62

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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.