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Finding the Fourth Proportional to 1,459.38, 2,189.43 and 593.94

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Solution

The fourth proportional to 1,459.38, 2,189.43 and 593.94 is: 891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.38 : 2,189.43 = 593.94 : x
  2. Step 2: Convert to fraction form
    1,459.38/2,189.43 = 593.94/x
  3. Step 3: Cross multiply
    1,459.38x = 2,189.43 × 593.94
  4. Step 4: Simplify right side
    1,459.38x = 1,300,390.05
  5. Step 5: Solve for x
    x = 1,300,390.05/1,459.38
  6. Step 6: Final answer
    x = 891.06

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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.