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Finding the Fourth Proportional to 1,522.67, 2,100.20 and 962.62

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Solution

The fourth proportional to 1,522.67, 2,100.20 and 962.62 is: 1,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.67 : 2,100.20 = 962.62 : x
  2. Step 2: Convert to fraction form
    1,522.67/2,100.20 = 962.62/x
  3. Step 3: Cross multiply
    1,522.67x = 2,100.20 × 962.62
  4. Step 4: Simplify right side
    1,522.67x = 2,021,684.46
  5. Step 5: Solve for x
    x = 2,021,684.46/1,522.67
  6. Step 6: Final answer
    x = 1,327.73

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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.