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Finding the Fourth Proportional to 2,401.63, 3,314.24 and 1,297.63

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Solution

The fourth proportional to 2,401.63, 3,314.24 and 1,297.63 is: 1,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.63 : 3,314.24 = 1,297.63 : x
  2. Step 2: Convert to fraction form
    2,401.63/3,314.24 = 1,297.63/x
  3. Step 3: Cross multiply
    2,401.63x = 3,314.24 × 1,297.63
  4. Step 4: Simplify right side
    2,401.63x = 4,300,643.92
  5. Step 5: Solve for x
    x = 4,300,643.92/2,401.63
  6. Step 6: Final answer
    x = 1,790.72

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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.