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Finding the Fourth Proportional to 2,612.70, 3,913.92 and 1,964.16

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Solution

The fourth proportional to 2,612.70, 3,913.92 and 1,964.16 is: 2,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.70 : 3,913.92 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    2,612.70/3,913.92 = 1,964.16/x
  3. Step 3: Cross multiply
    2,612.70x = 3,913.92 × 1,964.16
  4. Step 4: Simplify right side
    2,612.70x = 7,687,565.11
  5. Step 5: Solve for x
    x = 7,687,565.11/2,612.70
  6. Step 6: Final answer
    x = 2,942.38

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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.