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Finding the Fourth Proportional to 2,832.01, 3,909.59 and 1,770.37

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Solution

The fourth proportional to 2,832.01, 3,909.59 and 1,770.37 is: 2,443.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.01 : 3,909.59 = 1,770.37 : x
  2. Step 2: Convert to fraction form
    2,832.01/3,909.59 = 1,770.37/x
  3. Step 3: Cross multiply
    2,832.01x = 3,909.59 × 1,770.37
  4. Step 4: Simplify right side
    2,832.01x = 6,921,409.33
  5. Step 5: Solve for x
    x = 6,921,409.33/2,832.01
  6. Step 6: Final answer
    x = 2,443.99

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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.