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Finding the Fourth Proportional to 2,149.69, 2,962.56 and 1,676.85

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Solution

The fourth proportional to 2,149.69, 2,962.56 and 1,676.85 is: 2,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.69 : 2,962.56 = 1,676.85 : x
  2. Step 2: Convert to fraction form
    2,149.69/2,962.56 = 1,676.85/x
  3. Step 3: Cross multiply
    2,149.69x = 2,962.56 × 1,676.85
  4. Step 4: Simplify right side
    2,149.69x = 4,967,768.74
  5. Step 5: Solve for x
    x = 4,967,768.74/2,149.69
  6. Step 6: Final answer
    x = 2,310.92

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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.