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Finding the Fourth Proportional to 2,955.34, 4,078.43 and 1,909.23

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Solution

The fourth proportional to 2,955.34, 4,078.43 and 1,909.23 is: 2,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.34 : 4,078.43 = 1,909.23 : x
  2. Step 2: Convert to fraction form
    2,955.34/4,078.43 = 1,909.23/x
  3. Step 3: Cross multiply
    2,955.34x = 4,078.43 × 1,909.23
  4. Step 4: Simplify right side
    2,955.34x = 7,786,660.91
  5. Step 5: Solve for x
    x = 7,786,660.91/2,955.34
  6. Step 6: Final answer
    x = 2,634.78

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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.