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Finding the Fourth Proportional to 3,234.94, 4,464.21 and 1,837.69

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Solution

The fourth proportional to 3,234.94, 4,464.21 and 1,837.69 is: 2,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.94 : 4,464.21 = 1,837.69 : x
  2. Step 2: Convert to fraction form
    3,234.94/4,464.21 = 1,837.69/x
  3. Step 3: Cross multiply
    3,234.94x = 4,464.21 × 1,837.69
  4. Step 4: Simplify right side
    3,234.94x = 8,203,829.81
  5. Step 5: Solve for x
    x = 8,203,829.81/3,234.94
  6. Step 6: Final answer
    x = 2,536.01

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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.