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Finding the Fourth Proportional to 2,582.64, 3,874 and 2,451.36

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Solution

The fourth proportional to 2,582.64, 3,874 and 2,451.36 is: 3,677.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.64 : 3,874 = 2,451.36 : x
  2. Step 2: Convert to fraction form
    2,582.64/3,874 = 2,451.36/x
  3. Step 3: Cross multiply
    2,582.64x = 3,874 × 2,451.36
  4. Step 4: Simplify right side
    2,582.64x = 9,496,568.64
  5. Step 5: Solve for x
    x = 9,496,568.64/2,582.64
  6. Step 6: Final answer
    x = 3,677.08

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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.