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Finding the Fourth Proportional to 2,863.53, 3,926.43 and 2,582.64

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Solution

The fourth proportional to 2,863.53, 3,926.43 and 2,582.64 is: 3,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.53 : 3,926.43 = 2,582.64 : x
  2. Step 2: Convert to fraction form
    2,863.53/3,926.43 = 2,582.64/x
  3. Step 3: Cross multiply
    2,863.53x = 3,926.43 × 2,582.64
  4. Step 4: Simplify right side
    2,863.53x = 10,140,555.18
  5. Step 5: Solve for x
    x = 10,140,555.18/2,863.53
  6. Step 6: Final answer
    x = 3,541.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.