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Finding the Fourth Proportional to 2,824.08, 3,897.18 and 1,582.08

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Solution

The fourth proportional to 2,824.08, 3,897.18 and 1,582.08 is: 2,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.08 : 3,897.18 = 1,582.08 : x
  2. Step 2: Convert to fraction form
    2,824.08/3,897.18 = 1,582.08/x
  3. Step 3: Cross multiply
    2,824.08x = 3,897.18 × 1,582.08
  4. Step 4: Simplify right side
    2,824.08x = 6,165,650.53
  5. Step 5: Solve for x
    x = 6,165,650.53/2,824.08
  6. Step 6: Final answer
    x = 2,183.24

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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.