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Finding the Fourth Proportional to 2,777.22, 3,832.89 and 1,582.64

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Solution

The fourth proportional to 2,777.22, 3,832.89 and 1,582.64 is: 2,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.22 : 3,832.89 = 1,582.64 : x
  2. Step 2: Convert to fraction form
    2,777.22/3,832.89 = 1,582.64/x
  3. Step 3: Cross multiply
    2,777.22x = 3,832.89 × 1,582.64
  4. Step 4: Simplify right side
    2,777.22x = 6,066,074.30
  5. Step 5: Solve for x
    x = 6,066,074.30/2,777.22
  6. Step 6: Final answer
    x = 2,184.23

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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.