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Finding the Fourth Proportional to 3,185.73, 4,779.51 and 994.48

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Solution

The fourth proportional to 3,185.73, 4,779.51 and 994.48 is: 1,492.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.73 : 4,779.51 = 994.48 : x
  2. Step 2: Convert to fraction form
    3,185.73/4,779.51 = 994.48/x
  3. Step 3: Cross multiply
    3,185.73x = 4,779.51 × 994.48
  4. Step 4: Simplify right side
    3,185.73x = 4,753,111.43
  5. Step 5: Solve for x
    x = 4,753,111.43/3,185.73
  6. Step 6: Final answer
    x = 1,492.00

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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.