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Finding the Fourth Proportional to 1,838.85, 2,755.95 and 742.60

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Solution

The fourth proportional to 1,838.85, 2,755.95 and 742.60 is: 1,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.85 : 2,755.95 = 742.60 : x
  2. Step 2: Convert to fraction form
    1,838.85/2,755.95 = 742.60/x
  3. Step 3: Cross multiply
    1,838.85x = 2,755.95 × 742.60
  4. Step 4: Simplify right side
    1,838.85x = 2,046,568.47
  5. Step 5: Solve for x
    x = 2,046,568.47/1,838.85
  6. Step 6: Final answer
    x = 1,112.96

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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.