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Finding the Fourth Proportional to 2,464.40, 3,697.32 and 1,464.67

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Solution

The fourth proportional to 2,464.40, 3,697.32 and 1,464.67 is: 2,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.40 : 3,697.32 = 1,464.67 : x
  2. Step 2: Convert to fraction form
    2,464.40/3,697.32 = 1,464.67/x
  3. Step 3: Cross multiply
    2,464.40x = 3,697.32 × 1,464.67
  4. Step 4: Simplify right side
    2,464.40x = 5,415,354.48
  5. Step 5: Solve for x
    x = 5,415,354.48/2,464.40
  6. Step 6: Final answer
    x = 2,197.43

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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.