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Finding the Fourth Proportional to 1,828.42, 2,740.47 and 672.82

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Solution

The fourth proportional to 1,828.42, 2,740.47 and 672.82 is: 1,008.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.42 : 2,740.47 = 672.82 : x
  2. Step 2: Convert to fraction form
    1,828.42/2,740.47 = 672.82/x
  3. Step 3: Cross multiply
    1,828.42x = 2,740.47 × 672.82
  4. Step 4: Simplify right side
    1,828.42x = 1,843,843.03
  5. Step 5: Solve for x
    x = 1,843,843.03/1,828.42
  6. Step 6: Final answer
    x = 1,008.44

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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.