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Finding the Fourth Proportional to 1,522.21, 2,100.65 and 823.58

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Solution

The fourth proportional to 1,522.21, 2,100.65 and 823.58 is: 1,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.21 : 2,100.65 = 823.58 : x
  2. Step 2: Convert to fraction form
    1,522.21/2,100.65 = 823.58/x
  3. Step 3: Cross multiply
    1,522.21x = 2,100.65 × 823.58
  4. Step 4: Simplify right side
    1,522.21x = 1,730,049.21
  5. Step 5: Solve for x
    x = 1,730,049.21/1,522.21
  6. Step 6: Final answer
    x = 1,136.54

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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.