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Finding the Fourth Proportional to 2,548.24, 3,819.02 and 986.69

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Solution

The fourth proportional to 2,548.24, 3,819.02 and 986.69 is: 1,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.24 : 3,819.02 = 986.69 : x
  2. Step 2: Convert to fraction form
    2,548.24/3,819.02 = 986.69/x
  3. Step 3: Cross multiply
    2,548.24x = 3,819.02 × 986.69
  4. Step 4: Simplify right side
    2,548.24x = 3,768,200.86
  5. Step 5: Solve for x
    x = 3,768,200.86/2,548.24
  6. Step 6: Final answer
    x = 1,478.75

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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.