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Finding the Fourth Proportional to 2,927.81, 4,040.48 and 1,601.57

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Solution

The fourth proportional to 2,927.81, 4,040.48 and 1,601.57 is: 2,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.81 : 4,040.48 = 1,601.57 : x
  2. Step 2: Convert to fraction form
    2,927.81/4,040.48 = 1,601.57/x
  3. Step 3: Cross multiply
    2,927.81x = 4,040.48 × 1,601.57
  4. Step 4: Simplify right side
    2,927.81x = 6,471,125.66
  5. Step 5: Solve for x
    x = 6,471,125.66/2,927.81
  6. Step 6: Final answer
    x = 2,210.23

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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.