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Finding the Fourth Proportional to 2,401.35, 3,601.89 and 669.98

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Solution

The fourth proportional to 2,401.35, 3,601.89 and 669.98 is: 1,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.35 : 3,601.89 = 669.98 : x
  2. Step 2: Convert to fraction form
    2,401.35/3,601.89 = 669.98/x
  3. Step 3: Cross multiply
    2,401.35x = 3,601.89 × 669.98
  4. Step 4: Simplify right side
    2,401.35x = 2,413,176.25
  5. Step 5: Solve for x
    x = 2,413,176.25/2,401.35
  6. Step 6: Final answer
    x = 1,004.92

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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.