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Finding the Fourth Proportional to 1,777.08, 2,659.44 and 1,429.56

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Solution

The fourth proportional to 1,777.08, 2,659.44 and 1,429.56 is: 2,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.08 : 2,659.44 = 1,429.56 : x
  2. Step 2: Convert to fraction form
    1,777.08/2,659.44 = 1,429.56/x
  3. Step 3: Cross multiply
    1,777.08x = 2,659.44 × 1,429.56
  4. Step 4: Simplify right side
    1,777.08x = 3,801,829.05
  5. Step 5: Solve for x
    x = 3,801,829.05/1,777.08
  6. Step 6: Final answer
    x = 2,139.37

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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.