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Finding the Fourth Proportional to 1,847.34, 2,770.53 and 548.50

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Solution

The fourth proportional to 1,847.34, 2,770.53 and 548.50 is: 822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.34 : 2,770.53 = 548.50 : x
  2. Step 2: Convert to fraction form
    1,847.34/2,770.53 = 548.50/x
  3. Step 3: Cross multiply
    1,847.34x = 2,770.53 × 548.50
  4. Step 4: Simplify right side
    1,847.34x = 1,519,635.71
  5. Step 5: Solve for x
    x = 1,519,635.71/1,847.34
  6. Step 6: Final answer
    x = 822.61

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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.