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Finding the Fourth Proportional to 2,464.64, 3,697.30 and 905.42

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Solution

The fourth proportional to 2,464.64, 3,697.30 and 905.42 is: 1,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.64 : 3,697.30 = 905.42 : x
  2. Step 2: Convert to fraction form
    2,464.64/3,697.30 = 905.42/x
  3. Step 3: Cross multiply
    2,464.64x = 3,697.30 × 905.42
  4. Step 4: Simplify right side
    2,464.64x = 3,347,609.37
  5. Step 5: Solve for x
    x = 3,347,609.37/2,464.64
  6. Step 6: Final answer
    x = 1,358.25

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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.