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Finding the Fourth Proportional to 1,770.78, 2,443.65 and 1,024.68

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Solution

The fourth proportional to 1,770.78, 2,443.65 and 1,024.68 is: 1,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.78 : 2,443.65 = 1,024.68 : x
  2. Step 2: Convert to fraction form
    1,770.78/2,443.65 = 1,024.68/x
  3. Step 3: Cross multiply
    1,770.78x = 2,443.65 × 1,024.68
  4. Step 4: Simplify right side
    1,770.78x = 2,503,959.28
  5. Step 5: Solve for x
    x = 2,503,959.28/1,770.78
  6. Step 6: Final answer
    x = 1,414.04

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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.