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Finding the Fourth Proportional to 1,500, 2,252.49 and 926.52

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Solution

The fourth proportional to 1,500, 2,252.49 and 926.52 is: 1,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500 : 2,252.49 = 926.52 : x
  2. Step 2: Convert to fraction form
    1,500/2,252.49 = 926.52/x
  3. Step 3: Cross multiply
    1,500x = 2,252.49 × 926.52
  4. Step 4: Simplify right side
    1,500x = 2,086,977.03
  5. Step 5: Solve for x
    x = 2,086,977.03/1,500
  6. Step 6: Final answer
    x = 1,391.32

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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.