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Finding the Fourth Proportional to 3,451.82, 4,761.48 and 2,506.50

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Solution

The fourth proportional to 3,451.82, 4,761.48 and 2,506.50 is: 3,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.82 : 4,761.48 = 2,506.50 : x
  2. Step 2: Convert to fraction form
    3,451.82/4,761.48 = 2,506.50/x
  3. Step 3: Cross multiply
    3,451.82x = 4,761.48 × 2,506.50
  4. Step 4: Simplify right side
    3,451.82x = 11,934,649.62
  5. Step 5: Solve for x
    x = 11,934,649.62/3,451.82
  6. Step 6: Final answer
    x = 3,457.49

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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.