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Finding the Fourth Proportional to 3,451.85, 5,174.79 and 1,602.01

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Solution

The fourth proportional to 3,451.85, 5,174.79 and 1,602.01 is: 2,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.85 : 5,174.79 = 1,602.01 : x
  2. Step 2: Convert to fraction form
    3,451.85/5,174.79 = 1,602.01/x
  3. Step 3: Cross multiply
    3,451.85x = 5,174.79 × 1,602.01
  4. Step 4: Simplify right side
    3,451.85x = 8,290,065.79
  5. Step 5: Solve for x
    x = 8,290,065.79/3,451.85
  6. Step 6: Final answer
    x = 2,401.63

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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.