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Finding the Fourth Proportional to 2,601.81, 3,588.18 and 2,034.75

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Solution

The fourth proportional to 2,601.81, 3,588.18 and 2,034.75 is: 2,806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.81 : 3,588.18 = 2,034.75 : x
  2. Step 2: Convert to fraction form
    2,601.81/3,588.18 = 2,034.75/x
  3. Step 3: Cross multiply
    2,601.81x = 3,588.18 × 2,034.75
  4. Step 4: Simplify right side
    2,601.81x = 7,301,049.26
  5. Step 5: Solve for x
    x = 7,301,049.26/2,601.81
  6. Step 6: Final answer
    x = 2,806.14

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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.