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Finding the Fourth Proportional to 1,388.71, 1,917.85 and 1,201.30

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Solution

The fourth proportional to 1,388.71, 1,917.85 and 1,201.30 is: 1,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.71 : 1,917.85 = 1,201.30 : x
  2. Step 2: Convert to fraction form
    1,388.71/1,917.85 = 1,201.30/x
  3. Step 3: Cross multiply
    1,388.71x = 1,917.85 × 1,201.30
  4. Step 4: Simplify right side
    1,388.71x = 2,303,903.62
  5. Step 5: Solve for x
    x = 2,303,903.62/1,388.71
  6. Step 6: Final answer
    x = 1,659.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.