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Finding the Fourth Proportional to 2,962.22, 4,089.17 and 1,767.62

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Solution

The fourth proportional to 2,962.22, 4,089.17 and 1,767.62 is: 2,440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.22 : 4,089.17 = 1,767.62 : x
  2. Step 2: Convert to fraction form
    2,962.22/4,089.17 = 1,767.62/x
  3. Step 3: Cross multiply
    2,962.22x = 4,089.17 × 1,767.62
  4. Step 4: Simplify right side
    2,962.22x = 7,228,069.39
  5. Step 5: Solve for x
    x = 7,228,069.39/2,962.22
  6. Step 6: Final answer
    x = 2,440.09

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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.