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Finding the Fourth Proportional to 2,743.66, 3,784.35 and 2,326.78

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Solution

The fourth proportional to 2,743.66, 3,784.35 and 2,326.78 is: 3,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.66 : 3,784.35 = 2,326.78 : x
  2. Step 2: Convert to fraction form
    2,743.66/3,784.35 = 2,326.78/x
  3. Step 3: Cross multiply
    2,743.66x = 3,784.35 × 2,326.78
  4. Step 4: Simplify right side
    2,743.66x = 8,805,349.89
  5. Step 5: Solve for x
    x = 8,805,349.89/2,743.66
  6. Step 6: Final answer
    x = 3,209.34

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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.