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Finding the Fourth Proportional to 1,878.43, 2,817.57 and 579.89

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Solution

The fourth proportional to 1,878.43, 2,817.57 and 579.89 is: 869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.43 : 2,817.57 = 579.89 : x
  2. Step 2: Convert to fraction form
    1,878.43/2,817.57 = 579.89/x
  3. Step 3: Cross multiply
    1,878.43x = 2,817.57 × 579.89
  4. Step 4: Simplify right side
    1,878.43x = 1,633,891.23
  5. Step 5: Solve for x
    x = 1,633,891.23/1,878.43
  6. Step 6: Final answer
    x = 869.82

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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.