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Finding the Fourth Proportional to 2,412.89, 3,610.84 and 2,087.64

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Solution

The fourth proportional to 2,412.89, 3,610.84 and 2,087.64 is: 3,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.89 : 3,610.84 = 2,087.64 : x
  2. Step 2: Convert to fraction form
    2,412.89/3,610.84 = 2,087.64/x
  3. Step 3: Cross multiply
    2,412.89x = 3,610.84 × 2,087.64
  4. Step 4: Simplify right side
    2,412.89x = 7,538,134.02
  5. Step 5: Solve for x
    x = 7,538,134.02/2,412.89
  6. Step 6: Final answer
    x = 3,124.12

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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.