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Finding the Fourth Proportional to 2,508.54, 3,461.04 and 2,176.44

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Solution

The fourth proportional to 2,508.54, 3,461.04 and 2,176.44 is: 3,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.54 : 3,461.04 = 2,176.44 : x
  2. Step 2: Convert to fraction form
    2,508.54/3,461.04 = 2,176.44/x
  3. Step 3: Cross multiply
    2,508.54x = 3,461.04 × 2,176.44
  4. Step 4: Simplify right side
    2,508.54x = 7,532,745.90
  5. Step 5: Solve for x
    x = 7,532,745.90/2,508.54
  6. Step 6: Final answer
    x = 3,002.84

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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.