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Finding the Fourth Proportional to 2,462, 3,400.48 and 1,674.72

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Solution

The fourth proportional to 2,462, 3,400.48 and 1,674.72 is: 2,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462 : 3,400.48 = 1,674.72 : x
  2. Step 2: Convert to fraction form
    2,462/3,400.48 = 1,674.72/x
  3. Step 3: Cross multiply
    2,462x = 3,400.48 × 1,674.72
  4. Step 4: Simplify right side
    2,462x = 5,694,851.87
  5. Step 5: Solve for x
    x = 5,694,851.87/2,462
  6. Step 6: Final answer
    x = 2,313.10

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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.