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Finding the Fourth Proportional to 2,760.63, 4,138.92 and 1,588.97

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Solution

The fourth proportional to 2,760.63, 4,138.92 and 1,588.97 is: 2,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.63 : 4,138.92 = 1,588.97 : x
  2. Step 2: Convert to fraction form
    2,760.63/4,138.92 = 1,588.97/x
  3. Step 3: Cross multiply
    2,760.63x = 4,138.92 × 1,588.97
  4. Step 4: Simplify right side
    2,760.63x = 6,576,599.02
  5. Step 5: Solve for x
    x = 6,576,599.02/2,760.63
  6. Step 6: Final answer
    x = 2,382.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.