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Finding the Fourth Proportional to 3,401.04, 5,102.88 and 1,321.20

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Solution

The fourth proportional to 3,401.04, 5,102.88 and 1,321.20 is: 1,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.04 : 5,102.88 = 1,321.20 : x
  2. Step 2: Convert to fraction form
    3,401.04/5,102.88 = 1,321.20/x
  3. Step 3: Cross multiply
    3,401.04x = 5,102.88 × 1,321.20
  4. Step 4: Simplify right side
    3,401.04x = 6,741,925.06
  5. Step 5: Solve for x
    x = 6,741,925.06/3,401.04
  6. Step 6: Final answer
    x = 1,982.31

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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.