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Finding the Fourth Proportional to 1,459.56, 2,189 and 419.54

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Solution

The fourth proportional to 1,459.56, 2,189 and 419.54 is: 629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.56 : 2,189 = 419.54 : x
  2. Step 2: Convert to fraction form
    1,459.56/2,189 = 419.54/x
  3. Step 3: Cross multiply
    1,459.56x = 2,189 × 419.54
  4. Step 4: Simplify right side
    1,459.56x = 918,373.06
  5. Step 5: Solve for x
    x = 918,373.06/1,459.56
  6. Step 6: Final answer
    x = 629.21

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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.