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Finding the Fourth Proportional to 2,559.50, 3,839.27 and 1,862.82

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Solution

The fourth proportional to 2,559.50, 3,839.27 and 1,862.82 is: 2,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.50 : 3,839.27 = 1,862.82 : x
  2. Step 2: Convert to fraction form
    2,559.50/3,839.27 = 1,862.82/x
  3. Step 3: Cross multiply
    2,559.50x = 3,839.27 × 1,862.82
  4. Step 4: Simplify right side
    2,559.50x = 7,151,859.63
  5. Step 5: Solve for x
    x = 7,151,859.63/2,559.50
  6. Step 6: Final answer
    x = 2,794.25

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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.