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Finding the Fourth Proportional to 3,401.93, 5,102.87 and 1,646.53

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Solution

The fourth proportional to 3,401.93, 5,102.87 and 1,646.53 is: 2,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.93 : 5,102.87 = 1,646.53 : x
  2. Step 2: Convert to fraction form
    3,401.93/5,102.87 = 1,646.53/x
  3. Step 3: Cross multiply
    3,401.93x = 5,102.87 × 1,646.53
  4. Step 4: Simplify right side
    3,401.93x = 8,402,007.55
  5. Step 5: Solve for x
    x = 8,402,007.55/3,401.93
  6. Step 6: Final answer
    x = 2,469.77

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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.