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Finding the Fourth Proportional to 1,850.38, 2,774.49 and 695.50

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Solution

The fourth proportional to 1,850.38, 2,774.49 and 695.50 is: 1,042.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.38 : 2,774.49 = 695.50 : x
  2. Step 2: Convert to fraction form
    1,850.38/2,774.49 = 695.50/x
  3. Step 3: Cross multiply
    1,850.38x = 2,774.49 × 695.50
  4. Step 4: Simplify right side
    1,850.38x = 1,929,657.80
  5. Step 5: Solve for x
    x = 1,929,657.80/1,850.38
  6. Step 6: Final answer
    x = 1,042.84

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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.