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Finding the Fourth Proportional to 2,321.75, 3,483.49 and 935.48

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Solution

The fourth proportional to 2,321.75, 3,483.49 and 935.48 is: 1,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.75 : 3,483.49 = 935.48 : x
  2. Step 2: Convert to fraction form
    2,321.75/3,483.49 = 935.48/x
  3. Step 3: Cross multiply
    2,321.75x = 3,483.49 × 935.48
  4. Step 4: Simplify right side
    2,321.75x = 3,258,715.90
  5. Step 5: Solve for x
    x = 3,258,715.90/2,321.75
  6. Step 6: Final answer
    x = 1,403.56

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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.