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Finding the Fourth Proportional to 2,648.69, 3,973.82 and 799.86

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Solution

The fourth proportional to 2,648.69, 3,973.82 and 799.86 is: 1,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.69 : 3,973.82 = 799.86 : x
  2. Step 2: Convert to fraction form
    2,648.69/3,973.82 = 799.86/x
  3. Step 3: Cross multiply
    2,648.69x = 3,973.82 × 799.86
  4. Step 4: Simplify right side
    2,648.69x = 3,178,495.67
  5. Step 5: Solve for x
    x = 3,178,495.67/2,648.69
  6. Step 6: Final answer
    x = 1,200.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.