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Finding the Fourth Proportional to 1,660.70, 2,289.27 and 1,365.46

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Solution

The fourth proportional to 1,660.70, 2,289.27 and 1,365.46 is: 1,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.70 : 2,289.27 = 1,365.46 : x
  2. Step 2: Convert to fraction form
    1,660.70/2,289.27 = 1,365.46/x
  3. Step 3: Cross multiply
    1,660.70x = 2,289.27 × 1,365.46
  4. Step 4: Simplify right side
    1,660.70x = 3,125,902.62
  5. Step 5: Solve for x
    x = 3,125,902.62/1,660.70
  6. Step 6: Final answer
    x = 1,882.28

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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.