Home / 1,283.73-1,932.50-1,105.13

Finding the Fourth Proportional to 1,283.73, 1,932.50 and 1,105.13

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Solution

The fourth proportional to 1,283.73, 1,932.50 and 1,105.13 is: 1,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.73 : 1,932.50 = 1,105.13 : x
  2. Step 2: Convert to fraction form
    1,283.73/1,932.50 = 1,105.13/x
  3. Step 3: Cross multiply
    1,283.73x = 1,932.50 × 1,105.13
  4. Step 4: Simplify right side
    1,283.73x = 2,135,648.54
  5. Step 5: Solve for x
    x = 2,135,648.54/1,283.73
  6. Step 6: Final answer
    x = 1,663.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.