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Finding the Fourth Proportional to 2,328.48, 3,213.27 and 1,733.63

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Solution

The fourth proportional to 2,328.48, 3,213.27 and 1,733.63 is: 2,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.48 : 3,213.27 = 1,733.63 : x
  2. Step 2: Convert to fraction form
    2,328.48/3,213.27 = 1,733.63/x
  3. Step 3: Cross multiply
    2,328.48x = 3,213.27 × 1,733.63
  4. Step 4: Simplify right side
    2,328.48x = 5,570,629.30
  5. Step 5: Solve for x
    x = 5,570,629.30/2,328.48
  6. Step 6: Final answer
    x = 2,392.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.