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Finding the Fourth Proportional to 2,719.14, 3,754 and 1,725.26

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Solution

The fourth proportional to 2,719.14, 3,754 and 1,725.26 is: 2,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.14 : 3,754 = 1,725.26 : x
  2. Step 2: Convert to fraction form
    2,719.14/3,754 = 1,725.26/x
  3. Step 3: Cross multiply
    2,719.14x = 3,754 × 1,725.26
  4. Step 4: Simplify right side
    2,719.14x = 6,476,626.04
  5. Step 5: Solve for x
    x = 6,476,626.04/2,719.14
  6. Step 6: Final answer
    x = 2,381.87

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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.