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Finding the Fourth Proportional to 3,234.59, 4,851.89 and 1,384.51

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Solution

The fourth proportional to 3,234.59, 4,851.89 and 1,384.51 is: 2,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.59 : 4,851.89 = 1,384.51 : x
  2. Step 2: Convert to fraction form
    3,234.59/4,851.89 = 1,384.51/x
  3. Step 3: Cross multiply
    3,234.59x = 4,851.89 × 1,384.51
  4. Step 4: Simplify right side
    3,234.59x = 6,717,471.17
  5. Step 5: Solve for x
    x = 6,717,471.17/3,234.59
  6. Step 6: Final answer
    x = 2,076.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.