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Finding the Fourth Proportional to 1,596.12, 2,202.70 and 888

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Solution

The fourth proportional to 1,596.12, 2,202.70 and 888 is: 1,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.12 : 2,202.70 = 888 : x
  2. Step 2: Convert to fraction form
    1,596.12/2,202.70 = 888/x
  3. Step 3: Cross multiply
    1,596.12x = 2,202.70 × 888
  4. Step 4: Simplify right side
    1,596.12x = 1,955,997.60
  5. Step 5: Solve for x
    x = 1,955,997.60/1,596.12
  6. Step 6: Final answer
    x = 1,225.47

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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.