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Finding the Fourth Proportional to 3,249.32, 4,483.76 and 1,832.90

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Solution

The fourth proportional to 3,249.32, 4,483.76 and 1,832.90 is: 2,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.32 : 4,483.76 = 1,832.90 : x
  2. Step 2: Convert to fraction form
    3,249.32/4,483.76 = 1,832.90/x
  3. Step 3: Cross multiply
    3,249.32x = 4,483.76 × 1,832.90
  4. Step 4: Simplify right side
    3,249.32x = 8,218,252.12
  5. Step 5: Solve for x
    x = 8,218,252.12/3,249.32
  6. Step 6: Final answer
    x = 2,529.23

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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.