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Finding the Fourth Proportional to 2,031.99, 2,797.03 and 1,769.55

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Solution

The fourth proportional to 2,031.99, 2,797.03 and 1,769.55 is: 2,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.99 : 2,797.03 = 1,769.55 : x
  2. Step 2: Convert to fraction form
    2,031.99/2,797.03 = 1,769.55/x
  3. Step 3: Cross multiply
    2,031.99x = 2,797.03 × 1,769.55
  4. Step 4: Simplify right side
    2,031.99x = 4,949,476.16
  5. Step 5: Solve for x
    x = 4,949,476.16/2,031.99
  6. Step 6: Final answer
    x = 2,435.78

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