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Finding the Fourth Proportional to 2,685.72, 4,030.20 and 1,042.44

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Solution

The fourth proportional to 2,685.72, 4,030.20 and 1,042.44 is: 1,564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.72 : 4,030.20 = 1,042.44 : x
  2. Step 2: Convert to fraction form
    2,685.72/4,030.20 = 1,042.44/x
  3. Step 3: Cross multiply
    2,685.72x = 4,030.20 × 1,042.44
  4. Step 4: Simplify right side
    2,685.72x = 4,201,241.69
  5. Step 5: Solve for x
    x = 4,201,241.69/2,685.72
  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.