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Finding the Fourth Proportional to 1,991.16, 2,749.06 and 1,246.16

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Solution

The fourth proportional to 1,991.16, 2,749.06 and 1,246.16 is: 1,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.16 : 2,749.06 = 1,246.16 : x
  2. Step 2: Convert to fraction form
    1,991.16/2,749.06 = 1,246.16/x
  3. Step 3: Cross multiply
    1,991.16x = 2,749.06 × 1,246.16
  4. Step 4: Simplify right side
    1,991.16x = 3,425,768.61
  5. Step 5: Solve for x
    x = 3,425,768.61/1,991.16
  6. Step 6: Final answer
    x = 1,720.49

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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.