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Finding the Fourth Proportional to 1,902.42, 2,845.26 and 1,655.37

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Solution

The fourth proportional to 1,902.42, 2,845.26 and 1,655.37 is: 2,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.42 : 2,845.26 = 1,655.37 : x
  2. Step 2: Convert to fraction form
    1,902.42/2,845.26 = 1,655.37/x
  3. Step 3: Cross multiply
    1,902.42x = 2,845.26 × 1,655.37
  4. Step 4: Simplify right side
    1,902.42x = 4,709,958.05
  5. Step 5: Solve for x
    x = 4,709,958.05/1,902.42
  6. Step 6: Final answer
    x = 2,475.77

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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.