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Finding the Fourth Proportional to 1,849.66, 2,775.26 and 679.79

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Solution

The fourth proportional to 1,849.66, 2,775.26 and 679.79 is: 1,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.66 : 2,775.26 = 679.79 : x
  2. Step 2: Convert to fraction form
    1,849.66/2,775.26 = 679.79/x
  3. Step 3: Cross multiply
    1,849.66x = 2,775.26 × 679.79
  4. Step 4: Simplify right side
    1,849.66x = 1,886,602.63
  5. Step 5: Solve for x
    x = 1,886,602.63/1,849.66
  6. Step 6: Final answer
    x = 1,019.97

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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.