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Finding the Fourth Proportional to 3,185.82, 4,779.15 and 994.77

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Solution

The fourth proportional to 3,185.82, 4,779.15 and 994.77 is: 1,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.82 : 4,779.15 = 994.77 : x
  2. Step 2: Convert to fraction form
    3,185.82/4,779.15 = 994.77/x
  3. Step 3: Cross multiply
    3,185.82x = 4,779.15 × 994.77
  4. Step 4: Simplify right side
    3,185.82x = 4,754,131.15
  5. Step 5: Solve for x
    x = 4,754,131.15/3,185.82
  6. Step 6: Final answer
    x = 1,492.28

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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.