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Finding the Fourth Proportional to 2,454.63, 3,676.56 and 2,262.58

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Solution

The fourth proportional to 2,454.63, 3,676.56 and 2,262.58 is: 3,388.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.63 : 3,676.56 = 2,262.58 : x
  2. Step 2: Convert to fraction form
    2,454.63/3,676.56 = 2,262.58/x
  3. Step 3: Cross multiply
    2,454.63x = 3,676.56 × 2,262.58
  4. Step 4: Simplify right side
    2,454.63x = 8,318,499.81
  5. Step 5: Solve for x
    x = 8,318,499.81/2,454.63
  6. Step 6: Final answer
    x = 3,388.90

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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.