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Finding the Fourth Proportional to 1,824.52, 2,512.74 and 1,730.68

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Solution

The fourth proportional to 1,824.52, 2,512.74 and 1,730.68 is: 2,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.52 : 2,512.74 = 1,730.68 : x
  2. Step 2: Convert to fraction form
    1,824.52/2,512.74 = 1,730.68/x
  3. Step 3: Cross multiply
    1,824.52x = 2,512.74 × 1,730.68
  4. Step 4: Simplify right side
    1,824.52x = 4,348,748.86
  5. Step 5: Solve for x
    x = 4,348,748.86/1,824.52
  6. Step 6: Final answer
    x = 2,383.50

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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.