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Finding the Fourth Proportional to 1,731.31, 2,388.89 and 985.22

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Solution

The fourth proportional to 1,731.31, 2,388.89 and 985.22 is: 1,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.31 : 2,388.89 = 985.22 : x
  2. Step 2: Convert to fraction form
    1,731.31/2,388.89 = 985.22/x
  3. Step 3: Cross multiply
    1,731.31x = 2,388.89 × 985.22
  4. Step 4: Simplify right side
    1,731.31x = 2,353,577.28
  5. Step 5: Solve for x
    x = 2,353,577.28/1,731.31
  6. Step 6: Final answer
    x = 1,359.42

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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.