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Finding the Fourth Proportional to 2,288.52, 3,433.26 and 749.48

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Solution

The fourth proportional to 2,288.52, 3,433.26 and 749.48 is: 1,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.52 : 3,433.26 = 749.48 : x
  2. Step 2: Convert to fraction form
    2,288.52/3,433.26 = 749.48/x
  3. Step 3: Cross multiply
    2,288.52x = 3,433.26 × 749.48
  4. Step 4: Simplify right side
    2,288.52x = 2,573,159.70
  5. Step 5: Solve for x
    x = 2,573,159.70/2,288.52
  6. Step 6: Final answer
    x = 1,124.38

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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.