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Finding the Fourth Proportional to 1,697.42, 2,342.44 and 998.76

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Solution

The fourth proportional to 1,697.42, 2,342.44 and 998.76 is: 1,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.42 : 2,342.44 = 998.76 : x
  2. Step 2: Convert to fraction form
    1,697.42/2,342.44 = 998.76/x
  3. Step 3: Cross multiply
    1,697.42x = 2,342.44 × 998.76
  4. Step 4: Simplify right side
    1,697.42x = 2,339,535.37
  5. Step 5: Solve for x
    x = 2,339,535.37/1,697.42
  6. Step 6: Final answer
    x = 1,378.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.