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Finding the Fourth Proportional to 3,122.63, 4,684.30 and 1,042.78

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Solution

The fourth proportional to 3,122.63, 4,684.30 and 1,042.78 is: 1,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.63 : 4,684.30 = 1,042.78 : x
  2. Step 2: Convert to fraction form
    3,122.63/4,684.30 = 1,042.78/x
  3. Step 3: Cross multiply
    3,122.63x = 4,684.30 × 1,042.78
  4. Step 4: Simplify right side
    3,122.63x = 4,884,694.31
  5. Step 5: Solve for x
    x = 4,884,694.31/3,122.63
  6. Step 6: Final answer
    x = 1,564.29

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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.