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Finding the Fourth Proportional to 2,356.97, 3,536.80 and 1,383.75

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Solution

The fourth proportional to 2,356.97, 3,536.80 and 1,383.75 is: 2,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.97 : 3,536.80 = 1,383.75 : x
  2. Step 2: Convert to fraction form
    2,356.97/3,536.80 = 1,383.75/x
  3. Step 3: Cross multiply
    2,356.97x = 3,536.80 × 1,383.75
  4. Step 4: Simplify right side
    2,356.97x = 4,894,043.54
  5. Step 5: Solve for x
    x = 4,894,043.54/2,356.97
  6. Step 6: Final answer
    x = 2,076.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.