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Finding the Fourth Proportional to 1,855.83, 2,560.82 and 1,147.83

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Solution

The fourth proportional to 1,855.83, 2,560.82 and 1,147.83 is: 1,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.83 : 2,560.82 = 1,147.83 : x
  2. Step 2: Convert to fraction form
    1,855.83/2,560.82 = 1,147.83/x
  3. Step 3: Cross multiply
    1,855.83x = 2,560.82 × 1,147.83
  4. Step 4: Simplify right side
    1,855.83x = 2,939,380.28
  5. Step 5: Solve for x
    x = 2,939,380.28/1,855.83
  6. Step 6: Final answer
    x = 1,583.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.