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Finding the Fourth Proportional to 2,996.45, 4,494.34 and 805.01

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Solution

The fourth proportional to 2,996.45, 4,494.34 and 805.01 is: 1,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.45 : 4,494.34 = 805.01 : x
  2. Step 2: Convert to fraction form
    2,996.45/4,494.34 = 805.01/x
  3. Step 3: Cross multiply
    2,996.45x = 4,494.34 × 805.01
  4. Step 4: Simplify right side
    2,996.45x = 3,617,964.16
  5. Step 5: Solve for x
    x = 3,617,964.16/2,996.45
  6. Step 6: Final answer
    x = 1,207.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.