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Finding the Fourth Proportional to 2,454.70, 3,676.65 and 2,181.10

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Solution

The fourth proportional to 2,454.70, 3,676.65 and 2,181.10 is: 3,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.70 : 3,676.65 = 2,181.10 : x
  2. Step 2: Convert to fraction form
    2,454.70/3,676.65 = 2,181.10/x
  3. Step 3: Cross multiply
    2,454.70x = 3,676.65 × 2,181.10
  4. Step 4: Simplify right side
    2,454.70x = 8,019,141.32
  5. Step 5: Solve for x
    x = 8,019,141.32/2,454.70
  6. Step 6: Final answer
    x = 3,266.85

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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.