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Finding the Fourth Proportional to 1,845.90, 2,768.81 and 749.99

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Solution

The fourth proportional to 1,845.90, 2,768.81 and 749.99 is: 1,124.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.90 : 2,768.81 = 749.99 : x
  2. Step 2: Convert to fraction form
    1,845.90/2,768.81 = 749.99/x
  3. Step 3: Cross multiply
    1,845.90x = 2,768.81 × 749.99
  4. Step 4: Simplify right side
    1,845.90x = 2,076,582.98
  5. Step 5: Solve for x
    x = 2,076,582.98/1,845.90
  6. Step 6: Final answer
    x = 1,124.97

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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.