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Finding the Fourth Proportional to 2,604.18, 3,905.88 and 960.34

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Solution

The fourth proportional to 2,604.18, 3,905.88 and 960.34 is: 1,440.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.18 : 3,905.88 = 960.34 : x
  2. Step 2: Convert to fraction form
    2,604.18/3,905.88 = 960.34/x
  3. Step 3: Cross multiply
    2,604.18x = 3,905.88 × 960.34
  4. Step 4: Simplify right side
    2,604.18x = 3,750,972.80
  5. Step 5: Solve for x
    x = 3,750,972.80/2,604.18
  6. Step 6: Final answer
    x = 1,440.37

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1.5x scale

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.