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Finding the Fourth Proportional to 2,520.42, 3,780.54 and 960.36

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Solution

The fourth proportional to 2,520.42, 3,780.54 and 960.36 is: 1,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.42 : 3,780.54 = 960.36 : x
  2. Step 2: Convert to fraction form
    2,520.42/3,780.54 = 960.36/x
  3. Step 3: Cross multiply
    2,520.42x = 3,780.54 × 960.36
  4. Step 4: Simplify right side
    2,520.42x = 3,630,694.46
  5. Step 5: Solve for x
    x = 3,630,694.46/2,520.42
  6. Step 6: Final answer
    x = 1,440.51

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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.