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Finding the Fourth Proportional to 2,610.40, 3,919.20 and 1,638.40

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Solution

The fourth proportional to 2,610.40, 3,919.20 and 1,638.40 is: 2,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.40 : 3,919.20 = 1,638.40 : x
  2. Step 2: Convert to fraction form
    2,610.40/3,919.20 = 1,638.40/x
  3. Step 3: Cross multiply
    2,610.40x = 3,919.20 × 1,638.40
  4. Step 4: Simplify right side
    2,610.40x = 6,421,217.28
  5. Step 5: Solve for x
    x = 6,421,217.28/2,610.40
  6. Step 6: Final answer
    x = 2,459.86

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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.