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Finding the Fourth Proportional to 2,582.20, 3,873.17 and 1,514.22

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Solution

The fourth proportional to 2,582.20, 3,873.17 and 1,514.22 is: 2,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.20 : 3,873.17 = 1,514.22 : x
  2. Step 2: Convert to fraction form
    2,582.20/3,873.17 = 1,514.22/x
  3. Step 3: Cross multiply
    2,582.20x = 3,873.17 × 1,514.22
  4. Step 4: Simplify right side
    2,582.20x = 5,864,839.45
  5. Step 5: Solve for x
    x = 5,864,839.45/2,582.20
  6. Step 6: Final answer
    x = 2,271.26

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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.