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Finding the Fourth Proportional to 1,451,584.22, 2,003,072.74 and 806,965.16

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Solution

The fourth proportional to 1,451,584.22, 2,003,072.74 and 806,965.16 is: 1,113,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451,584.22 : 2,003,072.74 = 806,965.16 : x
  2. Step 2: Convert to fraction form
    1,451,584.22/2,003,072.74 = 806,965.16/x
  3. Step 3: Cross multiply
    1,451,584.22x = 2,003,072.74 × 806,965.16
  4. Step 4: Simplify right side
    1,451,584.22x = 1,616,409,914,125.74
  5. Step 5: Solve for x
    x = 1,616,409,914,125.74/1,451,584.22
  6. Step 6: Final answer
    x = 1,113,548.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.