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Finding the Fourth Proportional to 2,588.96, 3,855.44 and 2,422.88

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Solution

The fourth proportional to 2,588.96, 3,855.44 and 2,422.88 is: 3,608.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.96 : 3,855.44 = 2,422.88 : x
  2. Step 2: Convert to fraction form
    2,588.96/3,855.44 = 2,422.88/x
  3. Step 3: Cross multiply
    2,588.96x = 3,855.44 × 2,422.88
  4. Step 4: Simplify right side
    2,588.96x = 9,341,268.47
  5. Step 5: Solve for x
    x = 9,341,268.47/2,588.96
  6. Step 6: Final answer
    x = 3,608.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.