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Finding the Fourth Proportional to 3,234.84, 4,852.89 and 1,154.94

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Solution

The fourth proportional to 3,234.84, 4,852.89 and 1,154.94 is: 1,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.84 : 4,852.89 = 1,154.94 : x
  2. Step 2: Convert to fraction form
    3,234.84/4,852.89 = 1,154.94/x
  3. Step 3: Cross multiply
    3,234.84x = 4,852.89 × 1,154.94
  4. Step 4: Simplify right side
    3,234.84x = 5,604,796.78
  5. Step 5: Solve for x
    x = 5,604,796.78/3,234.84
  6. Step 6: Final answer
    x = 1,732.63

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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.