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Finding the Fourth Proportional to 3,234.81, 4,848.09 and 1,848.90

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Solution

The fourth proportional to 3,234.81, 4,848.09 and 1,848.90 is: 2,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.81 : 4,848.09 = 1,848.90 : x
  2. Step 2: Convert to fraction form
    3,234.81/4,848.09 = 1,848.90/x
  3. Step 3: Cross multiply
    3,234.81x = 4,848.09 × 1,848.90
  4. Step 4: Simplify right side
    3,234.81x = 8,963,633.60
  5. Step 5: Solve for x
    x = 8,963,633.60/3,234.81
  6. Step 6: Final answer
    x = 2,770.99

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Why These Related Problems?

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