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Finding the Fourth Proportional to 1,974.98, 2,725.43 and 1,090.80

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Solution

The fourth proportional to 1,974.98, 2,725.43 and 1,090.80 is: 1,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.98 : 2,725.43 = 1,090.80 : x
  2. Step 2: Convert to fraction form
    1,974.98/2,725.43 = 1,090.80/x
  3. Step 3: Cross multiply
    1,974.98x = 2,725.43 × 1,090.80
  4. Step 4: Simplify right side
    1,974.98x = 2,972,899.04
  5. Step 5: Solve for x
    x = 2,972,899.04/1,974.98
  6. Step 6: Final answer
    x = 1,505.28

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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.