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Finding the Fourth Proportional to 1,494.33, 2,241.19 and 1,420.23

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Solution

The fourth proportional to 1,494.33, 2,241.19 and 1,420.23 is: 2,130.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.33 : 2,241.19 = 1,420.23 : x
  2. Step 2: Convert to fraction form
    1,494.33/2,241.19 = 1,420.23/x
  3. Step 3: Cross multiply
    1,494.33x = 2,241.19 × 1,420.23
  4. Step 4: Simplify right side
    1,494.33x = 3,183,005.27
  5. Step 5: Solve for x
    x = 3,183,005.27/1,494.33
  6. Step 6: Final answer
    x = 2,130.06

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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.