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Finding the Fourth Proportional to 2,459.88, 3,691.14 and 1,638.60

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Solution

The fourth proportional to 2,459.88, 3,691.14 and 1,638.60 is: 2,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.88 : 3,691.14 = 1,638.60 : x
  2. Step 2: Convert to fraction form
    2,459.88/3,691.14 = 1,638.60/x
  3. Step 3: Cross multiply
    2,459.88x = 3,691.14 × 1,638.60
  4. Step 4: Simplify right side
    2,459.88x = 6,048,302.00
  5. Step 5: Solve for x
    x = 6,048,302.00/2,459.88
  6. Step 6: Final answer
    x = 2,458.78

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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.