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Finding the Fourth Proportional to 1,673.83, 2,512.28 and 852.69

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Solution

The fourth proportional to 1,673.83, 2,512.28 and 852.69 is: 1,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.83 : 2,512.28 = 852.69 : x
  2. Step 2: Convert to fraction form
    1,673.83/2,512.28 = 852.69/x
  3. Step 3: Cross multiply
    1,673.83x = 2,512.28 × 852.69
  4. Step 4: Simplify right side
    1,673.83x = 2,142,196.03
  5. Step 5: Solve for x
    x = 2,142,196.03/1,673.83
  6. Step 6: Final answer
    x = 1,279.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.