Home / 1,577.78-2,362.09-1,189.41

Finding the Fourth Proportional to 1,577.78, 2,362.09 and 1,189.41

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Solution

The fourth proportional to 1,577.78, 2,362.09 and 1,189.41 is: 1,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.78 : 2,362.09 = 1,189.41 : x
  2. Step 2: Convert to fraction form
    1,577.78/2,362.09 = 1,189.41/x
  3. Step 3: Cross multiply
    1,577.78x = 2,362.09 × 1,189.41
  4. Step 4: Simplify right side
    1,577.78x = 2,809,493.47
  5. Step 5: Solve for x
    x = 2,809,493.47/1,577.78
  6. Step 6: Final answer
    x = 1,780.66

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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.