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Finding the Fourth Proportional to 2,189.78, 3,021.80 and 1,195.01

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Solution

The fourth proportional to 2,189.78, 3,021.80 and 1,195.01 is: 1,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.78 : 3,021.80 = 1,195.01 : x
  2. Step 2: Convert to fraction form
    2,189.78/3,021.80 = 1,195.01/x
  3. Step 3: Cross multiply
    2,189.78x = 3,021.80 × 1,195.01
  4. Step 4: Simplify right side
    2,189.78x = 3,611,060.13
  5. Step 5: Solve for x
    x = 3,611,060.13/2,189.78
  6. Step 6: Final answer
    x = 1,649.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.