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Finding the Fourth Proportional to 2,855.85, 3,941.58 and 1,676.98

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Solution

The fourth proportional to 2,855.85, 3,941.58 and 1,676.98 is: 2,314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.85 : 3,941.58 = 1,676.98 : x
  2. Step 2: Convert to fraction form
    2,855.85/3,941.58 = 1,676.98/x
  3. Step 3: Cross multiply
    2,855.85x = 3,941.58 × 1,676.98
  4. Step 4: Simplify right side
    2,855.85x = 6,609,950.83
  5. Step 5: Solve for x
    x = 6,609,950.83/2,855.85
  6. Step 6: Final answer
    x = 2,314.53

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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.