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Finding the Fourth Proportional to 2,996.55, 4,494.87 and 805.59

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Solution

The fourth proportional to 2,996.55, 4,494.87 and 805.59 is: 1,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.55 : 4,494.87 = 805.59 : x
  2. Step 2: Convert to fraction form
    2,996.55/4,494.87 = 805.59/x
  3. Step 3: Cross multiply
    2,996.55x = 4,494.87 × 805.59
  4. Step 4: Simplify right side
    2,996.55x = 3,621,022.32
  5. Step 5: Solve for x
    x = 3,621,022.32/2,996.55
  6. Step 6: Final answer
    x = 1,208.40

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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.