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Finding the Fourth Proportional to 1,905.42, 2,858.59 and 672.73

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Solution

The fourth proportional to 1,905.42, 2,858.59 and 672.73 is: 1,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.42 : 2,858.59 = 672.73 : x
  2. Step 2: Convert to fraction form
    1,905.42/2,858.59 = 672.73/x
  3. Step 3: Cross multiply
    1,905.42x = 2,858.59 × 672.73
  4. Step 4: Simplify right side
    1,905.42x = 1,923,060.98
  5. Step 5: Solve for x
    x = 1,923,060.98/1,905.42
  6. Step 6: Final answer
    x = 1,009.26

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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.