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Finding the Fourth Proportional to 2,986.78, 4,121.65 and 1,660.54

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Solution

The fourth proportional to 2,986.78, 4,121.65 and 1,660.54 is: 2,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.78 : 4,121.65 = 1,660.54 : x
  2. Step 2: Convert to fraction form
    2,986.78/4,121.65 = 1,660.54/x
  3. Step 3: Cross multiply
    2,986.78x = 4,121.65 × 1,660.54
  4. Step 4: Simplify right side
    2,986.78x = 6,844,164.69
  5. Step 5: Solve for x
    x = 6,844,164.69/2,986.78
  6. Step 6: Final answer
    x = 2,291.49

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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.