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Finding the Fourth Proportional to 2,048.26, 3,072.38 and 509.26

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Solution

The fourth proportional to 2,048.26, 3,072.38 and 509.26 is: 763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.26 : 3,072.38 = 509.26 : x
  2. Step 2: Convert to fraction form
    2,048.26/3,072.38 = 509.26/x
  3. Step 3: Cross multiply
    2,048.26x = 3,072.38 × 509.26
  4. Step 4: Simplify right side
    2,048.26x = 1,564,640.24
  5. Step 5: Solve for x
    x = 1,564,640.24/2,048.26
  6. Step 6: Final answer
    x = 763.89

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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.