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Finding the Fourth Proportional to 2,451.76, 3,383.76 and 1,508.14

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Solution

The fourth proportional to 2,451.76, 3,383.76 and 1,508.14 is: 2,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.76 : 3,383.76 = 1,508.14 : x
  2. Step 2: Convert to fraction form
    2,451.76/3,383.76 = 1,508.14/x
  3. Step 3: Cross multiply
    2,451.76x = 3,383.76 × 1,508.14
  4. Step 4: Simplify right side
    2,451.76x = 5,103,183.81
  5. Step 5: Solve for x
    x = 5,103,183.81/2,451.76
  6. Step 6: Final answer
    x = 2,081.44

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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.