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Finding the Fourth Proportional to 2,713.74, 3,745.26 and 1,665.18

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Solution

The fourth proportional to 2,713.74, 3,745.26 and 1,665.18 is: 2,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.74 : 3,745.26 = 1,665.18 : x
  2. Step 2: Convert to fraction form
    2,713.74/3,745.26 = 1,665.18/x
  3. Step 3: Cross multiply
    2,713.74x = 3,745.26 × 1,665.18
  4. Step 4: Simplify right side
    2,713.74x = 6,236,532.05
  5. Step 5: Solve for x
    x = 6,236,532.05/2,713.74
  6. Step 6: Final answer
    x = 2,298.13

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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.