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Finding the Fourth Proportional to 2,648.07, 3,970.56 and 798.63

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Solution

The fourth proportional to 2,648.07, 3,970.56 and 798.63 is: 1,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.07 : 3,970.56 = 798.63 : x
  2. Step 2: Convert to fraction form
    2,648.07/3,970.56 = 798.63/x
  3. Step 3: Cross multiply
    2,648.07x = 3,970.56 × 798.63
  4. Step 4: Simplify right side
    2,648.07x = 3,171,008.33
  5. Step 5: Solve for x
    x = 3,171,008.33/2,648.07
  6. Step 6: Final answer
    x = 1,197.48

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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.