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Finding the Fourth Proportional to 4,493.63, 6,740.30 and 1,206.55

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Solution

The fourth proportional to 4,493.63, 6,740.30 and 1,206.55 is: 1,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.63 : 6,740.30 = 1,206.55 : x
  2. Step 2: Convert to fraction form
    4,493.63/6,740.30 = 1,206.55/x
  3. Step 3: Cross multiply
    4,493.63x = 6,740.30 × 1,206.55
  4. Step 4: Simplify right side
    4,493.63x = 8,132,508.97
  5. Step 5: Solve for x
    x = 8,132,508.97/4,493.63
  6. Step 6: Final answer
    x = 1,809.79

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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.