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Finding the Fourth Proportional to 2,648.60, 3,973.00 and 799.71

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Solution

The fourth proportional to 2,648.60, 3,973.00 and 799.71 is: 1,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.60 : 3,973.00 = 799.71 : x
  2. Step 2: Convert to fraction form
    2,648.60/3,973.00 = 799.71/x
  3. Step 3: Cross multiply
    2,648.60x = 3,973.00 × 799.71
  4. Step 4: Simplify right side
    2,648.60x = 3,177,243.83
  5. Step 5: Solve for x
    x = 3,177,243.83/2,648.60
  6. Step 6: Final answer
    x = 1,199.60

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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.