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Finding the Fourth Proportional to 3,234.78, 4,464 and 1,837.80

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Solution

The fourth proportional to 3,234.78, 4,464 and 1,837.80 is: 2,536.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.78 : 4,464 = 1,837.80 : x
  2. Step 2: Convert to fraction form
    3,234.78/4,464 = 1,837.80/x
  3. Step 3: Cross multiply
    3,234.78x = 4,464 × 1,837.80
  4. Step 4: Simplify right side
    3,234.78x = 8,203,939.20
  5. Step 5: Solve for x
    x = 8,203,939.20/3,234.78
  6. Step 6: Final answer
    x = 2,536.17

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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.