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Finding the Fourth Proportional to 2,141.50, 2,952.42 and 1,922.80

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Solution

The fourth proportional to 2,141.50, 2,952.42 and 1,922.80 is: 2,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.50 : 2,952.42 = 1,922.80 : x
  2. Step 2: Convert to fraction form
    2,141.50/2,952.42 = 1,922.80/x
  3. Step 3: Cross multiply
    2,141.50x = 2,952.42 × 1,922.80
  4. Step 4: Simplify right side
    2,141.50x = 5,676,913.18
  5. Step 5: Solve for x
    x = 5,676,913.18/2,141.50
  6. Step 6: Final answer
    x = 2,650.91

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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.