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Finding the Fourth Proportional to 2,648.82, 3,968.91 and 1,348.50

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Solution

The fourth proportional to 2,648.82, 3,968.91 and 1,348.50 is: 2,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.82 : 3,968.91 = 1,348.50 : x
  2. Step 2: Convert to fraction form
    2,648.82/3,968.91 = 1,348.50/x
  3. Step 3: Cross multiply
    2,648.82x = 3,968.91 × 1,348.50
  4. Step 4: Simplify right side
    2,648.82x = 5,352,075.14
  5. Step 5: Solve for x
    x = 5,352,075.14/2,648.82
  6. Step 6: Final answer
    x = 2,020.55

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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.