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Finding the Fourth Proportional to 1,346.62, 2,021.01 and 697.54

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Solution

The fourth proportional to 1,346.62, 2,021.01 and 697.54 is: 1,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.62 : 2,021.01 = 697.54 : x
  2. Step 2: Convert to fraction form
    1,346.62/2,021.01 = 697.54/x
  3. Step 3: Cross multiply
    1,346.62x = 2,021.01 × 697.54
  4. Step 4: Simplify right side
    1,346.62x = 1,409,735.32
  5. Step 5: Solve for x
    x = 1,409,735.32/1,346.62
  6. Step 6: Final answer
    x = 1,046.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.