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Finding the Fourth Proportional to 2,710.62, 3,738.24 and 2,113.26

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Solution

The fourth proportional to 2,710.62, 3,738.24 and 2,113.26 is: 2,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.62 : 3,738.24 = 2,113.26 : x
  2. Step 2: Convert to fraction form
    2,710.62/3,738.24 = 2,113.26/x
  3. Step 3: Cross multiply
    2,710.62x = 3,738.24 × 2,113.26
  4. Step 4: Simplify right side
    2,710.62x = 7,899,873.06
  5. Step 5: Solve for x
    x = 7,899,873.06/2,710.62
  6. Step 6: Final answer
    x = 2,914.42

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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.