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Finding the Fourth Proportional to 3,271.68, 4,902.64 and 2,800.64

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Solution

The fourth proportional to 3,271.68, 4,902.64 and 2,800.64 is: 4,196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.68 : 4,902.64 = 2,800.64 : x
  2. Step 2: Convert to fraction form
    3,271.68/4,902.64 = 2,800.64/x
  3. Step 3: Cross multiply
    3,271.68x = 4,902.64 × 2,800.64
  4. Step 4: Simplify right side
    3,271.68x = 13,730,529.69
  5. Step 5: Solve for x
    x = 13,730,529.69/3,271.68
  6. Step 6: Final answer
    x = 4,196.78

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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.