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Finding the Fourth Proportional to 1,991.64, 2,986.38 and 604.56

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Solution

The fourth proportional to 1,991.64, 2,986.38 and 604.56 is: 906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.64 : 2,986.38 = 604.56 : x
  2. Step 2: Convert to fraction form
    1,991.64/2,986.38 = 604.56/x
  3. Step 3: Cross multiply
    1,991.64x = 2,986.38 × 604.56
  4. Step 4: Simplify right side
    1,991.64x = 1,805,445.89
  5. Step 5: Solve for x
    x = 1,805,445.89/1,991.64
  6. Step 6: Final answer
    x = 906.51

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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.