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Finding the Fourth Proportional to 1,419.89, 1,958.77 and 1,223.06

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Solution

The fourth proportional to 1,419.89, 1,958.77 and 1,223.06 is: 1,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.89 : 1,958.77 = 1,223.06 : x
  2. Step 2: Convert to fraction form
    1,419.89/1,958.77 = 1,223.06/x
  3. Step 3: Cross multiply
    1,419.89x = 1,958.77 × 1,223.06
  4. Step 4: Simplify right side
    1,419.89x = 2,395,693.24
  5. Step 5: Solve for x
    x = 2,395,693.24/1,419.89
  6. Step 6: Final answer
    x = 1,687.24

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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.