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Finding the Fourth Proportional to 2,648.47, 3,973.25 and 799.76

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Solution

The fourth proportional to 2,648.47, 3,973.25 and 799.76 is: 1,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.47 : 3,973.25 = 799.76 : x
  2. Step 2: Convert to fraction form
    2,648.47/3,973.25 = 799.76/x
  3. Step 3: Cross multiply
    2,648.47x = 3,973.25 × 799.76
  4. Step 4: Simplify right side
    2,648.47x = 3,177,628.55
  5. Step 5: Solve for x
    x = 3,177,628.55/2,648.47
  6. Step 6: Final answer
    x = 1,199.80

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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.