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Finding the Fourth Proportional to 1,459.89, 2,189.82 and 594.18

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Solution

The fourth proportional to 1,459.89, 2,189.82 and 594.18 is: 891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.89 : 2,189.82 = 594.18 : x
  2. Step 2: Convert to fraction form
    1,459.89/2,189.82 = 594.18/x
  3. Step 3: Cross multiply
    1,459.89x = 2,189.82 × 594.18
  4. Step 4: Simplify right side
    1,459.89x = 1,301,147.25
  5. Step 5: Solve for x
    x = 1,301,147.25/1,459.89
  6. Step 6: Final answer
    x = 891.26

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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.