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Finding the Fourth Proportional to 2,328.83, 3,493.59 and 685.18

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Solution

The fourth proportional to 2,328.83, 3,493.59 and 685.18 is: 1,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.83 : 3,493.59 = 685.18 : x
  2. Step 2: Convert to fraction form
    2,328.83/3,493.59 = 685.18/x
  3. Step 3: Cross multiply
    2,328.83x = 3,493.59 × 685.18
  4. Step 4: Simplify right side
    2,328.83x = 2,393,738.00
  5. Step 5: Solve for x
    x = 2,393,738.00/2,328.83
  6. Step 6: Final answer
    x = 1,027.87

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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.