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Finding the Fourth Proportional to 2,777.28, 3,832.64 and 1,598.58

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Solution

The fourth proportional to 2,777.28, 3,832.64 and 1,598.58 is: 2,206.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.28 : 3,832.64 = 1,598.58 : x
  2. Step 2: Convert to fraction form
    2,777.28/3,832.64 = 1,598.58/x
  3. Step 3: Cross multiply
    2,777.28x = 3,832.64 × 1,598.58
  4. Step 4: Simplify right side
    2,777.28x = 6,126,781.65
  5. Step 5: Solve for x
    x = 6,126,781.65/2,777.28
  6. Step 6: Final answer
    x = 2,206.04

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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.