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Finding the Fourth Proportional to 1,601.37, 2,401.65 and 676.55

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Solution

The fourth proportional to 1,601.37, 2,401.65 and 676.55 is: 1,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.37 : 2,401.65 = 676.55 : x
  2. Step 2: Convert to fraction form
    1,601.37/2,401.65 = 676.55/x
  3. Step 3: Cross multiply
    1,601.37x = 2,401.65 × 676.55
  4. Step 4: Simplify right side
    1,601.37x = 1,624,842.31
  5. Step 5: Solve for x
    x = 1,624,842.31/1,601.37
  6. Step 6: Final answer
    x = 1,014.66

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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.