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Finding the Fourth Proportional to 2,582.63, 3,873.94 and 1,043.63

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Solution

The fourth proportional to 2,582.63, 3,873.94 and 1,043.63 is: 1,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.63 : 3,873.94 = 1,043.63 : x
  2. Step 2: Convert to fraction form
    2,582.63/3,873.94 = 1,043.63/x
  3. Step 3: Cross multiply
    2,582.63x = 3,873.94 × 1,043.63
  4. Step 4: Simplify right side
    2,582.63x = 4,042,938.02
  5. Step 5: Solve for x
    x = 4,042,938.02/2,582.63
  6. Step 6: Final answer
    x = 1,565.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.