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Finding the Fourth Proportional to 2,528.06, 3,791.49 and 967.49

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Solution

The fourth proportional to 2,528.06, 3,791.49 and 967.49 is: 1,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.06 : 3,791.49 = 967.49 : x
  2. Step 2: Convert to fraction form
    2,528.06/3,791.49 = 967.49/x
  3. Step 3: Cross multiply
    2,528.06x = 3,791.49 × 967.49
  4. Step 4: Simplify right side
    2,528.06x = 3,668,228.66
  5. Step 5: Solve for x
    x = 3,668,228.66/2,528.06
  6. Step 6: Final answer
    x = 1,451.01

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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.