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Finding the Fourth Proportional to 1,770.80, 2,443.90 and 1,024.80

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Solution

The fourth proportional to 1,770.80, 2,443.90 and 1,024.80 is: 1,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.80 : 2,443.90 = 1,024.80 : x
  2. Step 2: Convert to fraction form
    1,770.80/2,443.90 = 1,024.80/x
  3. Step 3: Cross multiply
    1,770.80x = 2,443.90 × 1,024.80
  4. Step 4: Simplify right side
    1,770.80x = 2,504,508.72
  5. Step 5: Solve for x
    x = 2,504,508.72/1,770.80
  6. Step 6: Final answer
    x = 1,414.34

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1.5x scale

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.