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Finding the Fourth Proportional to 1,192.41, 1,796.13 and 1,119.51

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Solution

The fourth proportional to 1,192.41, 1,796.13 and 1,119.51 is: 1,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.41 : 1,796.13 = 1,119.51 : x
  2. Step 2: Convert to fraction form
    1,192.41/1,796.13 = 1,119.51/x
  3. Step 3: Cross multiply
    1,192.41x = 1,796.13 × 1,119.51
  4. Step 4: Simplify right side
    1,192.41x = 2,010,785.50
  5. Step 5: Solve for x
    x = 2,010,785.50/1,192.41
  6. Step 6: Final answer
    x = 1,686.32

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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.