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Finding the Fourth Proportional to 3,257.21, 4,494.93 and 1,765.13

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Solution

The fourth proportional to 3,257.21, 4,494.93 and 1,765.13 is: 2,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.21 : 4,494.93 = 1,765.13 : x
  2. Step 2: Convert to fraction form
    3,257.21/4,494.93 = 1,765.13/x
  3. Step 3: Cross multiply
    3,257.21x = 4,494.93 × 1,765.13
  4. Step 4: Simplify right side
    3,257.21x = 7,934,106.70
  5. Step 5: Solve for x
    x = 7,934,106.70/3,257.21
  6. Step 6: Final answer
    x = 2,435.86

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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.