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Finding the Fourth Proportional to 1,991.74, 2,986.52 and 952.01

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Solution

The fourth proportional to 1,991.74, 2,986.52 and 952.01 is: 1,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.74 : 2,986.52 = 952.01 : x
  2. Step 2: Convert to fraction form
    1,991.74/2,986.52 = 952.01/x
  3. Step 3: Cross multiply
    1,991.74x = 2,986.52 × 952.01
  4. Step 4: Simplify right side
    1,991.74x = 2,843,196.91
  5. Step 5: Solve for x
    x = 2,843,196.91/1,991.74
  6. Step 6: Final answer
    x = 1,427.49

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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.