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Finding the Fourth Proportional to 1,697.31, 2,342.10 and 989.31

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Solution

The fourth proportional to 1,697.31, 2,342.10 and 989.31 is: 1,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.31 : 2,342.10 = 989.31 : x
  2. Step 2: Convert to fraction form
    1,697.31/2,342.10 = 989.31/x
  3. Step 3: Cross multiply
    1,697.31x = 2,342.10 × 989.31
  4. Step 4: Simplify right side
    1,697.31x = 2,317,062.95
  5. Step 5: Solve for x
    x = 2,317,062.95/1,697.31
  6. Step 6: Final answer
    x = 1,365.14

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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.