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Finding the Fourth Proportional to 2,371.40, 3,554.10 and 908.60

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Solution

The fourth proportional to 2,371.40, 3,554.10 and 908.60 is: 1,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.40 : 3,554.10 = 908.60 : x
  2. Step 2: Convert to fraction form
    2,371.40/3,554.10 = 908.60/x
  3. Step 3: Cross multiply
    2,371.40x = 3,554.10 × 908.60
  4. Step 4: Simplify right side
    2,371.40x = 3,229,255.26
  5. Step 5: Solve for x
    x = 3,229,255.26/2,371.40
  6. Step 6: Final answer
    x = 1,361.75

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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.