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Finding the Fourth Proportional to 1,770.86, 2,443.97 and 1,024.79

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Solution

The fourth proportional to 1,770.86, 2,443.97 and 1,024.79 is: 1,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.86 : 2,443.97 = 1,024.79 : x
  2. Step 2: Convert to fraction form
    1,770.86/2,443.97 = 1,024.79/x
  3. Step 3: Cross multiply
    1,770.86x = 2,443.97 × 1,024.79
  4. Step 4: Simplify right side
    1,770.86x = 2,504,546.36
  5. Step 5: Solve for x
    x = 2,504,546.36/1,770.86
  6. Step 6: Final answer
    x = 1,414.31

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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.