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Finding the Fourth Proportional to 2,406.75, 3,321.32 and 1,475.25

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Solution

The fourth proportional to 2,406.75, 3,321.32 and 1,475.25 is: 2,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.75 : 3,321.32 = 1,475.25 : x
  2. Step 2: Convert to fraction form
    2,406.75/3,321.32 = 1,475.25/x
  3. Step 3: Cross multiply
    2,406.75x = 3,321.32 × 1,475.25
  4. Step 4: Simplify right side
    2,406.75x = 4,899,769.95
  5. Step 5: Solve for x
    x = 4,899,769.95/2,406.75
  6. Step 6: Final answer
    x = 2,035.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.