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Finding the Fourth Proportional to 1,828.20, 2,742.29 and 595.73

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Solution

The fourth proportional to 1,828.20, 2,742.29 and 595.73 is: 893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.20 : 2,742.29 = 595.73 : x
  2. Step 2: Convert to fraction form
    1,828.20/2,742.29 = 595.73/x
  3. Step 3: Cross multiply
    1,828.20x = 2,742.29 × 595.73
  4. Step 4: Simplify right side
    1,828.20x = 1,633,664.42
  5. Step 5: Solve for x
    x = 1,633,664.42/1,828.20
  6. Step 6: Final answer
    x = 893.59

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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.