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Finding the Fourth Proportional to 2,321.54, 3,480.49 and 1,150.74

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Solution

The fourth proportional to 2,321.54, 3,480.49 and 1,150.74 is: 1,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.54 : 3,480.49 = 1,150.74 : x
  2. Step 2: Convert to fraction form
    2,321.54/3,480.49 = 1,150.74/x
  3. Step 3: Cross multiply
    2,321.54x = 3,480.49 × 1,150.74
  4. Step 4: Simplify right side
    2,321.54x = 4,005,136.19
  5. Step 5: Solve for x
    x = 4,005,136.19/2,321.54
  6. Step 6: Final answer
    x = 1,725.20

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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.