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Finding the Fourth Proportional to 1,929.05, 2,893.22 and 542.04

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Solution

The fourth proportional to 1,929.05, 2,893.22 and 542.04 is: 812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.05 : 2,893.22 = 542.04 : x
  2. Step 2: Convert to fraction form
    1,929.05/2,893.22 = 542.04/x
  3. Step 3: Cross multiply
    1,929.05x = 2,893.22 × 542.04
  4. Step 4: Simplify right side
    1,929.05x = 1,568,240.97
  5. Step 5: Solve for x
    x = 1,568,240.97/1,929.05
  6. Step 6: Final answer
    x = 812.96

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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.