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Finding the Fourth Proportional to 2,180.92, 3,007.65 and 1,962.22

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Solution

The fourth proportional to 2,180.92, 3,007.65 and 1,962.22 is: 2,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.92 : 3,007.65 = 1,962.22 : x
  2. Step 2: Convert to fraction form
    2,180.92/3,007.65 = 1,962.22/x
  3. Step 3: Cross multiply
    2,180.92x = 3,007.65 × 1,962.22
  4. Step 4: Simplify right side
    2,180.92x = 5,901,670.98
  5. Step 5: Solve for x
    x = 5,901,670.98/2,180.92
  6. Step 6: Final answer
    x = 2,706.05

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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.