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Finding the Fourth Proportional to 2,351.32, 3,523.62 and 1,774.60

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Solution

The fourth proportional to 2,351.32, 3,523.62 and 1,774.60 is: 2,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.32 : 3,523.62 = 1,774.60 : x
  2. Step 2: Convert to fraction form
    2,351.32/3,523.62 = 1,774.60/x
  3. Step 3: Cross multiply
    2,351.32x = 3,523.62 × 1,774.60
  4. Step 4: Simplify right side
    2,351.32x = 6,253,016.05
  5. Step 5: Solve for x
    x = 6,253,016.05/2,351.32
  6. Step 6: Final answer
    x = 2,659.36

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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.