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Finding the Fourth Proportional to 1,829.67, 2,745.71 and 855.84

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Solution

The fourth proportional to 1,829.67, 2,745.71 and 855.84 is: 1,284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.67 : 2,745.71 = 855.84 : x
  2. Step 2: Convert to fraction form
    1,829.67/2,745.71 = 855.84/x
  3. Step 3: Cross multiply
    1,829.67x = 2,745.71 × 855.84
  4. Step 4: Simplify right side
    1,829.67x = 2,349,888.45
  5. Step 5: Solve for x
    x = 2,349,888.45/1,829.67
  6. Step 6: Final answer
    x = 1,284.32

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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.