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Finding the Fourth Proportional to 1,771.44, 2,661 and 1,498.08

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Solution

The fourth proportional to 1,771.44, 2,661 and 1,498.08 is: 2,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.44 : 2,661 = 1,498.08 : x
  2. Step 2: Convert to fraction form
    1,771.44/2,661 = 1,498.08/x
  3. Step 3: Cross multiply
    1,771.44x = 2,661 × 1,498.08
  4. Step 4: Simplify right side
    1,771.44x = 3,986,390.88
  5. Step 5: Solve for x
    x = 3,986,390.88/1,771.44
  6. Step 6: Final answer
    x = 2,250.37

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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.