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Finding the Fourth Proportional to 2,761.12, 3,810.12 and 1,519.12

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Solution

The fourth proportional to 2,761.12, 3,810.12 and 1,519.12 is: 2,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.12 : 3,810.12 = 1,519.12 : x
  2. Step 2: Convert to fraction form
    2,761.12/3,810.12 = 1,519.12/x
  3. Step 3: Cross multiply
    2,761.12x = 3,810.12 × 1,519.12
  4. Step 4: Simplify right side
    2,761.12x = 5,788,029.49
  5. Step 5: Solve for x
    x = 5,788,029.49/2,761.12
  6. Step 6: Final answer
    x = 2,096.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.