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Finding the Fourth Proportional to 1,949, 2,689.80 and 1,109.74

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Solution

The fourth proportional to 1,949, 2,689.80 and 1,109.74 is: 1,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949 : 2,689.80 = 1,109.74 : x
  2. Step 2: Convert to fraction form
    1,949/2,689.80 = 1,109.74/x
  3. Step 3: Cross multiply
    1,949x = 2,689.80 × 1,109.74
  4. Step 4: Simplify right side
    1,949x = 2,984,978.65
  5. Step 5: Solve for x
    x = 2,984,978.65/1,949
  6. Step 6: Final answer
    x = 1,531.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.