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Finding the Fourth Proportional to 1,772.69, 2,655.38 and 1,255.10

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Solution

The fourth proportional to 1,772.69, 2,655.38 and 1,255.10 is: 1,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.69 : 2,655.38 = 1,255.10 : x
  2. Step 2: Convert to fraction form
    1,772.69/2,655.38 = 1,255.10/x
  3. Step 3: Cross multiply
    1,772.69x = 2,655.38 × 1,255.10
  4. Step 4: Simplify right side
    1,772.69x = 3,332,757.30
  5. Step 5: Solve for x
    x = 3,332,757.30/1,772.69
  6. Step 6: Final answer
    x = 1,880.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.