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Finding the Fourth Proportional to 3,206.84, 4,808.54 and 1,646.20

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Solution

The fourth proportional to 3,206.84, 4,808.54 and 1,646.20 is: 2,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.84 : 4,808.54 = 1,646.20 : x
  2. Step 2: Convert to fraction form
    3,206.84/4,808.54 = 1,646.20/x
  3. Step 3: Cross multiply
    3,206.84x = 4,808.54 × 1,646.20
  4. Step 4: Simplify right side
    3,206.84x = 7,915,818.55
  5. Step 5: Solve for x
    x = 7,915,818.55/3,206.84
  6. Step 6: Final answer
    x = 2,468.42

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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.