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Finding the Fourth Proportional to 2,761.63, 3,811.05 and 1,519.63

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Solution

The fourth proportional to 2,761.63, 3,811.05 and 1,519.63 is: 2,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.63 : 3,811.05 = 1,519.63 : x
  2. Step 2: Convert to fraction form
    2,761.63/3,811.05 = 1,519.63/x
  3. Step 3: Cross multiply
    2,761.63x = 3,811.05 × 1,519.63
  4. Step 4: Simplify right side
    2,761.63x = 5,791,359.26
  5. Step 5: Solve for x
    x = 5,791,359.26/2,761.63
  6. Step 6: Final answer
    x = 2,097.08

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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.