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Finding the Fourth Proportional to 1,419.88, 2,130.25 and 727.03

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Solution

The fourth proportional to 1,419.88, 2,130.25 and 727.03 is: 1,090.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.88 : 2,130.25 = 727.03 : x
  2. Step 2: Convert to fraction form
    1,419.88/2,130.25 = 727.03/x
  3. Step 3: Cross multiply
    1,419.88x = 2,130.25 × 727.03
  4. Step 4: Simplify right side
    1,419.88x = 1,548,755.66
  5. Step 5: Solve for x
    x = 1,548,755.66/1,419.88
  6. Step 6: Final answer
    x = 1,090.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.