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Finding the Fourth Proportional to 3,148.88, 4,722.20 and 1,201.68

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Solution

The fourth proportional to 3,148.88, 4,722.20 and 1,201.68 is: 1,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.88 : 4,722.20 = 1,201.68 : x
  2. Step 2: Convert to fraction form
    3,148.88/4,722.20 = 1,201.68/x
  3. Step 3: Cross multiply
    3,148.88x = 4,722.20 × 1,201.68
  4. Step 4: Simplify right side
    3,148.88x = 5,674,573.30
  5. Step 5: Solve for x
    x = 5,674,573.30/3,148.88
  6. Step 6: Final answer
    x = 1,802.09

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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.