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Finding the Fourth Proportional to 2,257.37, 3,119.07 and 1,863.71

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Solution

The fourth proportional to 2,257.37, 3,119.07 and 1,863.71 is: 2,575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.37 : 3,119.07 = 1,863.71 : x
  2. Step 2: Convert to fraction form
    2,257.37/3,119.07 = 1,863.71/x
  3. Step 3: Cross multiply
    2,257.37x = 3,119.07 × 1,863.71
  4. Step 4: Simplify right side
    2,257.37x = 5,813,045.04
  5. Step 5: Solve for x
    x = 5,813,045.04/2,257.37
  6. Step 6: Final answer
    x = 2,575.14

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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.