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Finding the Fourth Proportional to 2,508.60, 3,760.34 and 1,776.44

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Solution

The fourth proportional to 2,508.60, 3,760.34 and 1,776.44 is: 2,662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.60 : 3,760.34 = 1,776.44 : x
  2. Step 2: Convert to fraction form
    2,508.60/3,760.34 = 1,776.44/x
  3. Step 3: Cross multiply
    2,508.60x = 3,760.34 × 1,776.44
  4. Step 4: Simplify right side
    2,508.60x = 6,680,018.39
  5. Step 5: Solve for x
    x = 6,680,018.39/2,508.60
  6. Step 6: Final answer
    x = 2,662.85

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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.