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Finding the Fourth Proportional to 1,953.38, 2,940.62 and 1,783.89

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Solution

The fourth proportional to 1,953.38, 2,940.62 and 1,783.89 is: 2,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.38 : 2,940.62 = 1,783.89 : x
  2. Step 2: Convert to fraction form
    1,953.38/2,940.62 = 1,783.89/x
  3. Step 3: Cross multiply
    1,953.38x = 2,940.62 × 1,783.89
  4. Step 4: Simplify right side
    1,953.38x = 5,245,743.73
  5. Step 5: Solve for x
    x = 5,245,743.73/1,953.38
  6. Step 6: Final answer
    x = 2,685.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.