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Finding the Fourth Proportional to 1,991.68, 2,746.44 and 1,571.32

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Solution

The fourth proportional to 1,991.68, 2,746.44 and 1,571.32 is: 2,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.68 : 2,746.44 = 1,571.32 : x
  2. Step 2: Convert to fraction form
    1,991.68/2,746.44 = 1,571.32/x
  3. Step 3: Cross multiply
    1,991.68x = 2,746.44 × 1,571.32
  4. Step 4: Simplify right side
    1,991.68x = 4,315,536.10
  5. Step 5: Solve for x
    x = 4,315,536.10/1,991.68
  6. Step 6: Final answer
    x = 2,166.78

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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.