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Finding the Fourth Proportional to 2,328.72, 3,493.77 and 685.32

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Solution

The fourth proportional to 2,328.72, 3,493.77 and 685.32 is: 1,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.72 : 3,493.77 = 685.32 : x
  2. Step 2: Convert to fraction form
    2,328.72/3,493.77 = 685.32/x
  3. Step 3: Cross multiply
    2,328.72x = 3,493.77 × 685.32
  4. Step 4: Simplify right side
    2,328.72x = 2,394,350.46
  5. Step 5: Solve for x
    x = 2,394,350.46/2,328.72
  6. Step 6: Final answer
    x = 1,028.18

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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.