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Finding the Fourth Proportional to 2,506.23, 3,755.21 and 861.87

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Solution

The fourth proportional to 2,506.23, 3,755.21 and 861.87 is: 1,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.23 : 3,755.21 = 861.87 : x
  2. Step 2: Convert to fraction form
    2,506.23/3,755.21 = 861.87/x
  3. Step 3: Cross multiply
    2,506.23x = 3,755.21 × 861.87
  4. Step 4: Simplify right side
    2,506.23x = 3,236,502.84
  5. Step 5: Solve for x
    x = 3,236,502.84/2,506.23
  6. Step 6: Final answer
    x = 1,291.38

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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.