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Finding the Fourth Proportional to 1,634.82, 2,257 and 1,005.60

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Solution

The fourth proportional to 1,634.82, 2,257 and 1,005.60 is: 1,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.82 : 2,257 = 1,005.60 : x
  2. Step 2: Convert to fraction form
    1,634.82/2,257 = 1,005.60/x
  3. Step 3: Cross multiply
    1,634.82x = 2,257 × 1,005.60
  4. Step 4: Simplify right side
    1,634.82x = 2,269,639.20
  5. Step 5: Solve for x
    x = 2,269,639.20/1,634.82
  6. Step 6: Final answer
    x = 1,388.31

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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.