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Finding the Fourth Proportional to 2,717.27, 4,078.63 and 1,837.00

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Solution

The fourth proportional to 2,717.27, 4,078.63 and 1,837.00 is: 2,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,717.27 : 4,078.63 = 1,837.00 : x
  2. Step 2: Convert to fraction form
    2,717.27/4,078.63 = 1,837.00/x
  3. Step 3: Cross multiply
    2,717.27x = 4,078.63 × 1,837.00
  4. Step 4: Simplify right side
    2,717.27x = 7,492,422.92
  5. Step 5: Solve for x
    x = 7,492,422.92/2,717.27
  6. Step 6: Final answer
    x = 2,757.34

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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.