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Finding the Fourth Proportional to 3,181.89, 4,390.43 and 1,922.10

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Solution

The fourth proportional to 3,181.89, 4,390.43 and 1,922.10 is: 2,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.89 : 4,390.43 = 1,922.10 : x
  2. Step 2: Convert to fraction form
    3,181.89/4,390.43 = 1,922.10/x
  3. Step 3: Cross multiply
    3,181.89x = 4,390.43 × 1,922.10
  4. Step 4: Simplify right side
    3,181.89x = 8,438,835.89
  5. Step 5: Solve for x
    x = 8,438,835.89/3,181.89
  6. Step 6: Final answer
    x = 2,652.15

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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.