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Finding the Fourth Proportional to 4,510, 6,767.77 and 1,912.94

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Solution

The fourth proportional to 4,510, 6,767.77 and 1,912.94 is: 2,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510 : 6,767.77 = 1,912.94 : x
  2. Step 2: Convert to fraction form
    4,510/6,767.77 = 1,912.94/x
  3. Step 3: Cross multiply
    4,510x = 6,767.77 × 1,912.94
  4. Step 4: Simplify right side
    4,510x = 12,946,337.94
  5. Step 5: Solve for x
    x = 12,946,337.94/4,510
  6. Step 6: Final answer
    x = 2,870.58

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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.