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Finding the Fourth Proportional to 3,410.50, 5,116.95 and 1,680.34

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Solution

The fourth proportional to 3,410.50, 5,116.95 and 1,680.34 is: 2,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.50 : 5,116.95 = 1,680.34 : x
  2. Step 2: Convert to fraction form
    3,410.50/5,116.95 = 1,680.34/x
  3. Step 3: Cross multiply
    3,410.50x = 5,116.95 × 1,680.34
  4. Step 4: Simplify right side
    3,410.50x = 8,598,215.76
  5. Step 5: Solve for x
    x = 8,598,215.76/3,410.50
  6. Step 6: Final answer
    x = 2,521.10

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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.