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Finding the Fourth Proportional to 2,685.78, 4,029.21 and 1,042.29

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Solution

The fourth proportional to 2,685.78, 4,029.21 and 1,042.29 is: 1,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.78 : 4,029.21 = 1,042.29 : x
  2. Step 2: Convert to fraction form
    2,685.78/4,029.21 = 1,042.29/x
  3. Step 3: Cross multiply
    2,685.78x = 4,029.21 × 1,042.29
  4. Step 4: Simplify right side
    2,685.78x = 4,199,605.29
  5. Step 5: Solve for x
    x = 4,199,605.29/2,685.78
  6. Step 6: Final answer
    x = 1,563.64

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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.