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Finding the Fourth Proportional to 1,697.25, 2,342.49 and 998.49

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Solution

The fourth proportional to 1,697.25, 2,342.49 and 998.49 is: 1,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.25 : 2,342.49 = 998.49 : x
  2. Step 2: Convert to fraction form
    1,697.25/2,342.49 = 998.49/x
  3. Step 3: Cross multiply
    1,697.25x = 2,342.49 × 998.49
  4. Step 4: Simplify right side
    1,697.25x = 2,338,952.84
  5. Step 5: Solve for x
    x = 2,338,952.84/1,697.25
  6. Step 6: Final answer
    x = 1,378.08

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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.