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Finding the Fourth Proportional to 3,122.70, 4,684.26 and 1,042.92

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Solution

The fourth proportional to 3,122.70, 4,684.26 and 1,042.92 is: 1,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.70 : 4,684.26 = 1,042.92 : x
  2. Step 2: Convert to fraction form
    3,122.70/4,684.26 = 1,042.92/x
  3. Step 3: Cross multiply
    3,122.70x = 4,684.26 × 1,042.92
  4. Step 4: Simplify right side
    3,122.70x = 4,885,308.44
  5. Step 5: Solve for x
    x = 4,885,308.44/3,122.70
  6. Step 6: Final answer
    x = 1,564.45

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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.