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Finding the Fourth Proportional to 2,328.70, 3,493.17 and 685.12

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Solution

The fourth proportional to 2,328.70, 3,493.17 and 685.12 is: 1,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.70 : 3,493.17 = 685.12 : x
  2. Step 2: Convert to fraction form
    2,328.70/3,493.17 = 685.12/x
  3. Step 3: Cross multiply
    2,328.70x = 3,493.17 × 685.12
  4. Step 4: Simplify right side
    2,328.70x = 2,393,240.63
  5. Step 5: Solve for x
    x = 2,393,240.63/2,328.70
  6. Step 6: Final answer
    x = 1,027.72

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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.