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Finding the Fourth Proportional to 2,676.34, 3,688.63 and 2,257.77

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Solution

The fourth proportional to 2,676.34, 3,688.63 and 2,257.77 is: 3,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676.34 : 3,688.63 = 2,257.77 : x
  2. Step 2: Convert to fraction form
    2,676.34/3,688.63 = 2,257.77/x
  3. Step 3: Cross multiply
    2,676.34x = 3,688.63 × 2,257.77
  4. Step 4: Simplify right side
    2,676.34x = 8,328,078.16
  5. Step 5: Solve for x
    x = 8,328,078.16/2,676.34
  6. Step 6: Final answer
    x = 3,111.74

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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.