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Finding the Fourth Proportional to 2,378, 3,283.26 and 1,448.12

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Solution

The fourth proportional to 2,378, 3,283.26 and 1,448.12 is: 1,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 3,283.26 = 1,448.12 : x
  2. Step 2: Convert to fraction form
    2,378/3,283.26 = 1,448.12/x
  3. Step 3: Cross multiply
    2,378x = 3,283.26 × 1,448.12
  4. Step 4: Simplify right side
    2,378x = 4,754,554.47
  5. Step 5: Solve for x
    x = 4,754,554.47/2,378
  6. Step 6: Final answer
    x = 1,999.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.