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Finding the Fourth Proportional to 1,709.73, 2,358.39 and 1,205.52

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Solution

The fourth proportional to 1,709.73, 2,358.39 and 1,205.52 is: 1,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.73 : 2,358.39 = 1,205.52 : x
  2. Step 2: Convert to fraction form
    1,709.73/2,358.39 = 1,205.52/x
  3. Step 3: Cross multiply
    1,709.73x = 2,358.39 × 1,205.52
  4. Step 4: Simplify right side
    1,709.73x = 2,843,086.31
  5. Step 5: Solve for x
    x = 2,843,086.31/1,709.73
  6. Step 6: Final answer
    x = 1,662.89

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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.