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Finding the Fourth Proportional to 1,975.00, 2,725.37 and 1,090.73

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Solution

The fourth proportional to 1,975.00, 2,725.37 and 1,090.73 is: 1,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.00 : 2,725.37 = 1,090.73 : x
  2. Step 2: Convert to fraction form
    1,975.00/2,725.37 = 1,090.73/x
  3. Step 3: Cross multiply
    1,975.00x = 2,725.37 × 1,090.73
  4. Step 4: Simplify right side
    1,975.00x = 2,972,649.29
  5. Step 5: Solve for x
    x = 2,972,649.29/1,975.00
  6. Step 6: Final answer
    x = 1,505.14

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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.