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Finding the Fourth Proportional to 2,996.46, 4,494.42 and 805.14

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Solution

The fourth proportional to 2,996.46, 4,494.42 and 805.14 is: 1,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.46 : 4,494.42 = 805.14 : x
  2. Step 2: Convert to fraction form
    2,996.46/4,494.42 = 805.14/x
  3. Step 3: Cross multiply
    2,996.46x = 4,494.42 × 805.14
  4. Step 4: Simplify right side
    2,996.46x = 3,618,637.32
  5. Step 5: Solve for x
    x = 3,618,637.32/2,996.46
  6. Step 6: Final answer
    x = 1,207.64

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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.