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Finding the Fourth Proportional to 2,257.56, 3,381.62 and 1,435.41

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Solution

The fourth proportional to 2,257.56, 3,381.62 and 1,435.41 is: 2,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.56 : 3,381.62 = 1,435.41 : x
  2. Step 2: Convert to fraction form
    2,257.56/3,381.62 = 1,435.41/x
  3. Step 3: Cross multiply
    2,257.56x = 3,381.62 × 1,435.41
  4. Step 4: Simplify right side
    2,257.56x = 4,854,003.99
  5. Step 5: Solve for x
    x = 4,854,003.99/2,257.56
  6. Step 6: Final answer
    x = 2,150.11

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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.