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Finding the Fourth Proportional to 3,246.64, 4,480.50 and 1,921.12

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Solution

The fourth proportional to 3,246.64, 4,480.50 and 1,921.12 is: 2,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.64 : 4,480.50 = 1,921.12 : x
  2. Step 2: Convert to fraction form
    3,246.64/4,480.50 = 1,921.12/x
  3. Step 3: Cross multiply
    3,246.64x = 4,480.50 × 1,921.12
  4. Step 4: Simplify right side
    3,246.64x = 8,607,578.16
  5. Step 5: Solve for x
    x = 8,607,578.16/3,246.64
  6. Step 6: Final answer
    x = 2,651.23

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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.