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Finding the Fourth Proportional to 2,048.33, 3,072.49 and 509.33

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Solution

The fourth proportional to 2,048.33, 3,072.49 and 509.33 is: 763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.33 : 3,072.49 = 509.33 : x
  2. Step 2: Convert to fraction form
    2,048.33/3,072.49 = 509.33/x
  3. Step 3: Cross multiply
    2,048.33x = 3,072.49 × 509.33
  4. Step 4: Simplify right side
    2,048.33x = 1,564,902.38
  5. Step 5: Solve for x
    x = 1,564,902.38/2,048.33
  6. Step 6: Final answer
    x = 763.99

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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.