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Finding the Fourth Proportional to 2,829.58, 3,896.13 and 2,455.90

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Solution

The fourth proportional to 2,829.58, 3,896.13 and 2,455.90 is: 3,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.58 : 3,896.13 = 2,455.90 : x
  2. Step 2: Convert to fraction form
    2,829.58/3,896.13 = 2,455.90/x
  3. Step 3: Cross multiply
    2,829.58x = 3,896.13 × 2,455.90
  4. Step 4: Simplify right side
    2,829.58x = 9,568,505.67
  5. Step 5: Solve for x
    x = 9,568,505.67/2,829.58
  6. Step 6: Final answer
    x = 3,381.60

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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.