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Finding the Fourth Proportional to 1,878.27, 2,817.37 and 579.73

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Solution

The fourth proportional to 1,878.27, 2,817.37 and 579.73 is: 869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.27 : 2,817.37 = 579.73 : x
  2. Step 2: Convert to fraction form
    1,878.27/2,817.37 = 579.73/x
  3. Step 3: Cross multiply
    1,878.27x = 2,817.37 × 579.73
  4. Step 4: Simplify right side
    1,878.27x = 1,633,313.91
  5. Step 5: Solve for x
    x = 1,633,313.91/1,878.27
  6. Step 6: Final answer
    x = 869.58

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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.