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Finding the Fourth Proportional to 2,927.68, 4,040.06 and 1,601.40

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Solution

The fourth proportional to 2,927.68, 4,040.06 and 1,601.40 is: 2,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.68 : 4,040.06 = 1,601.40 : x
  2. Step 2: Convert to fraction form
    2,927.68/4,040.06 = 1,601.40/x
  3. Step 3: Cross multiply
    2,927.68x = 4,040.06 × 1,601.40
  4. Step 4: Simplify right side
    2,927.68x = 6,469,752.08
  5. Step 5: Solve for x
    x = 6,469,752.08/2,927.68
  6. Step 6: Final answer
    x = 2,209.86

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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.