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Finding the Fourth Proportional to 2,522.82, 3,784.36 and 962.53

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Solution

The fourth proportional to 2,522.82, 3,784.36 and 962.53 is: 1,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.82 : 3,784.36 = 962.53 : x
  2. Step 2: Convert to fraction form
    2,522.82/3,784.36 = 962.53/x
  3. Step 3: Cross multiply
    2,522.82x = 3,784.36 × 962.53
  4. Step 4: Simplify right side
    2,522.82x = 3,642,555.22
  5. Step 5: Solve for x
    x = 3,642,555.22/2,522.82
  6. Step 6: Final answer
    x = 1,443.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.