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Finding the Fourth Proportional to 2,464.57, 3,400.74 and 1,416.43

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Solution

The fourth proportional to 2,464.57, 3,400.74 and 1,416.43 is: 1,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.57 : 3,400.74 = 1,416.43 : x
  2. Step 2: Convert to fraction form
    2,464.57/3,400.74 = 1,416.43/x
  3. Step 3: Cross multiply
    2,464.57x = 3,400.74 × 1,416.43
  4. Step 4: Simplify right side
    2,464.57x = 4,816,910.16
  5. Step 5: Solve for x
    x = 4,816,910.16/2,464.57
  6. Step 6: Final answer
    x = 1,954.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.