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Finding the Fourth Proportional to 2,777.25, 3,833.06 and 1,598.09

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Solution

The fourth proportional to 2,777.25, 3,833.06 and 1,598.09 is: 2,205.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.25 : 3,833.06 = 1,598.09 : x
  2. Step 2: Convert to fraction form
    2,777.25/3,833.06 = 1,598.09/x
  3. Step 3: Cross multiply
    2,777.25x = 3,833.06 × 1,598.09
  4. Step 4: Simplify right side
    2,777.25x = 6,125,574.86
  5. Step 5: Solve for x
    x = 6,125,574.86/2,777.25
  6. Step 6: Final answer
    x = 2,205.63

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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.