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Finding the Fourth Proportional to 2,661.25, 3,991.71 and 1,017.05

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Solution

The fourth proportional to 2,661.25, 3,991.71 and 1,017.05 is: 1,525.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.25 : 3,991.71 = 1,017.05 : x
  2. Step 2: Convert to fraction form
    2,661.25/3,991.71 = 1,017.05/x
  3. Step 3: Cross multiply
    2,661.25x = 3,991.71 × 1,017.05
  4. Step 4: Simplify right side
    2,661.25x = 4,059,748.70
  5. Step 5: Solve for x
    x = 4,059,748.70/2,661.25
  6. Step 6: Final answer
    x = 1,525.51

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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.