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Finding the Fourth Proportional to 1,639.75, 2,262.78 and 893.71

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Solution

The fourth proportional to 1,639.75, 2,262.78 and 893.71 is: 1,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.75 : 2,262.78 = 893.71 : x
  2. Step 2: Convert to fraction form
    1,639.75/2,262.78 = 893.71/x
  3. Step 3: Cross multiply
    1,639.75x = 2,262.78 × 893.71
  4. Step 4: Simplify right side
    1,639.75x = 2,022,269.11
  5. Step 5: Solve for x
    x = 2,022,269.11/1,639.75
  6. Step 6: Final answer
    x = 1,233.28

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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.