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Finding the Fourth Proportional to 2,986.95, 4,121.60 and 1,660.48

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Solution

The fourth proportional to 2,986.95, 4,121.60 and 1,660.48 is: 2,291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.95 : 4,121.60 = 1,660.48 : x
  2. Step 2: Convert to fraction form
    2,986.95/4,121.60 = 1,660.48/x
  3. Step 3: Cross multiply
    2,986.95x = 4,121.60 × 1,660.48
  4. Step 4: Simplify right side
    2,986.95x = 6,843,826.07
  5. Step 5: Solve for x
    x = 6,843,826.07/2,986.95
  6. Step 6: Final answer
    x = 2,291.25

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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.