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Finding the Fourth Proportional to 2,528.52, 3,791.05 and 1,294.92

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Solution

The fourth proportional to 2,528.52, 3,791.05 and 1,294.92 is: 1,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.52 : 3,791.05 = 1,294.92 : x
  2. Step 2: Convert to fraction form
    2,528.52/3,791.05 = 1,294.92/x
  3. Step 3: Cross multiply
    2,528.52x = 3,791.05 × 1,294.92
  4. Step 4: Simplify right side
    2,528.52x = 4,909,106.47
  5. Step 5: Solve for x
    x = 4,909,106.47/2,528.52
  6. Step 6: Final answer
    x = 1,941.49

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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.