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Finding the Fourth Proportional to 2,659.51, 3,991.09 and 928.13

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Solution

The fourth proportional to 2,659.51, 3,991.09 and 928.13 is: 1,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.51 : 3,991.09 = 928.13 : x
  2. Step 2: Convert to fraction form
    2,659.51/3,991.09 = 928.13/x
  3. Step 3: Cross multiply
    2,659.51x = 3,991.09 × 928.13
  4. Step 4: Simplify right side
    2,659.51x = 3,704,255.70
  5. Step 5: Solve for x
    x = 3,704,255.70/2,659.51
  6. Step 6: Final answer
    x = 1,392.84

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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.