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Finding the Fourth Proportional to 1,522.03, 2,100.41 and 823.41

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Solution

The fourth proportional to 1,522.03, 2,100.41 and 823.41 is: 1,136.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.03 : 2,100.41 = 823.41 : x
  2. Step 2: Convert to fraction form
    1,522.03/2,100.41 = 823.41/x
  3. Step 3: Cross multiply
    1,522.03x = 2,100.41 × 823.41
  4. Step 4: Simplify right side
    1,522.03x = 1,729,483.98
  5. Step 5: Solve for x
    x = 1,729,483.98/1,522.03
  6. Step 6: Final answer
    x = 1,136.30

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