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Finding the Fourth Proportional to 2,848.52, 4,267.65 and 2,676.97

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Solution

The fourth proportional to 2,848.52, 4,267.65 and 2,676.97 is: 4,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.52 : 4,267.65 = 2,676.97 : x
  2. Step 2: Convert to fraction form
    2,848.52/4,267.65 = 2,676.97/x
  3. Step 3: Cross multiply
    2,848.52x = 4,267.65 × 2,676.97
  4. Step 4: Simplify right side
    2,848.52x = 11,424,357.64
  5. Step 5: Solve for x
    x = 11,424,357.64/2,848.52
  6. Step 6: Final answer
    x = 4,010.63

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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.