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Finding the Fourth Proportional to 1,596.78, 2,203.52 and 888.62

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Solution

The fourth proportional to 1,596.78, 2,203.52 and 888.62 is: 1,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.78 : 2,203.52 = 888.62 : x
  2. Step 2: Convert to fraction form
    1,596.78/2,203.52 = 888.62/x
  3. Step 3: Cross multiply
    1,596.78x = 2,203.52 × 888.62
  4. Step 4: Simplify right side
    1,596.78x = 1,958,076.48
  5. Step 5: Solve for x
    x = 1,958,076.48/1,596.78
  6. Step 6: Final answer
    x = 1,226.27

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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.