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Finding the Fourth Proportional to 3,368.90, 4,649.09 and 2,042.26

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Solution

The fourth proportional to 3,368.90, 4,649.09 and 2,042.26 is: 2,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,368.90 : 4,649.09 = 2,042.26 : x
  2. Step 2: Convert to fraction form
    3,368.90/4,649.09 = 2,042.26/x
  3. Step 3: Cross multiply
    3,368.90x = 4,649.09 × 2,042.26
  4. Step 4: Simplify right side
    3,368.90x = 9,494,650.54
  5. Step 5: Solve for x
    x = 9,494,650.54/3,368.90
  6. Step 6: Final answer
    x = 2,818.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.