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Finding the Fourth Proportional to 3,410.80, 5,116.20 and 1,219.40

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Solution

The fourth proportional to 3,410.80, 5,116.20 and 1,219.40 is: 1,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.80 : 5,116.20 = 1,219.40 : x
  2. Step 2: Convert to fraction form
    3,410.80/5,116.20 = 1,219.40/x
  3. Step 3: Cross multiply
    3,410.80x = 5,116.20 × 1,219.40
  4. Step 4: Simplify right side
    3,410.80x = 6,238,692.46
  5. Step 5: Solve for x
    x = 6,238,692.46/3,410.80
  6. Step 6: Final answer
    x = 1,829.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.