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Finding the Fourth Proportional to 1,589.14, 2,383.82 and 549.24

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Solution

The fourth proportional to 1,589.14, 2,383.82 and 549.24 is: 823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.14 : 2,383.82 = 549.24 : x
  2. Step 2: Convert to fraction form
    1,589.14/2,383.82 = 549.24/x
  3. Step 3: Cross multiply
    1,589.14x = 2,383.82 × 549.24
  4. Step 4: Simplify right side
    1,589.14x = 1,309,292.51
  5. Step 5: Solve for x
    x = 1,309,292.51/1,589.14
  6. Step 6: Final answer
    x = 823.90

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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.