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Finding the Fourth Proportional to 1,589, 2,383.64 and 549.18

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Solution

The fourth proportional to 1,589, 2,383.64 and 549.18 is: 823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589 : 2,383.64 = 549.18 : x
  2. Step 2: Convert to fraction form
    1,589/2,383.64 = 549.18/x
  3. Step 3: Cross multiply
    1,589x = 2,383.64 × 549.18
  4. Step 4: Simplify right side
    1,589x = 1,309,047.42
  5. Step 5: Solve for x
    x = 1,309,047.42/1,589
  6. Step 6: Final answer
    x = 823.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.