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Finding the Fourth Proportional to 2,464.83, 3,697.70 and 1,489.77

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Solution

The fourth proportional to 2,464.83, 3,697.70 and 1,489.77 is: 2,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.83 : 3,697.70 = 1,489.77 : x
  2. Step 2: Convert to fraction form
    2,464.83/3,697.70 = 1,489.77/x
  3. Step 3: Cross multiply
    2,464.83x = 3,697.70 × 1,489.77
  4. Step 4: Simplify right side
    2,464.83x = 5,508,715.08
  5. Step 5: Solve for x
    x = 5,508,715.08/2,464.83
  6. Step 6: Final answer
    x = 2,234.93

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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.