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Finding the Fourth Proportional to 1,549.36, 2,324.09 and 509.39

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Solution

The fourth proportional to 1,549.36, 2,324.09 and 509.39 is: 764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.36 : 2,324.09 = 509.39 : x
  2. Step 2: Convert to fraction form
    1,549.36/2,324.09 = 509.39/x
  3. Step 3: Cross multiply
    1,549.36x = 2,324.09 × 509.39
  4. Step 4: Simplify right side
    1,549.36x = 1,183,866.57
  5. Step 5: Solve for x
    x = 1,183,866.57/1,549.36
  6. Step 6: Final answer
    x = 764.10

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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.