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Finding the Fourth Proportional to 3,122.93, 4,684.96 and 1,042.73

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Solution

The fourth proportional to 3,122.93, 4,684.96 and 1,042.73 is: 1,564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.93 : 4,684.96 = 1,042.73 : x
  2. Step 2: Convert to fraction form
    3,122.93/4,684.96 = 1,042.73/x
  3. Step 3: Cross multiply
    3,122.93x = 4,684.96 × 1,042.73
  4. Step 4: Simplify right side
    3,122.93x = 4,885,145.73
  5. Step 5: Solve for x
    x = 4,885,145.73/3,122.93
  6. Step 6: Final answer
    x = 1,564.28

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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.