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Finding the Fourth Proportional to 1,697.03, 2,342.34 and 1,034.31

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Solution

The fourth proportional to 1,697.03, 2,342.34 and 1,034.31 is: 1,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.03 : 2,342.34 = 1,034.31 : x
  2. Step 2: Convert to fraction form
    1,697.03/2,342.34 = 1,034.31/x
  3. Step 3: Cross multiply
    1,697.03x = 2,342.34 × 1,034.31
  4. Step 4: Simplify right side
    1,697.03x = 2,422,705.69
  5. Step 5: Solve for x
    x = 2,422,705.69/1,697.03
  6. Step 6: Final answer
    x = 1,427.62

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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.