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Finding the Fourth Proportional to 2,050.80, 2,832.96 and 1,829.64

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Solution

The fourth proportional to 2,050.80, 2,832.96 and 1,829.64 is: 2,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.80 : 2,832.96 = 1,829.64 : x
  2. Step 2: Convert to fraction form
    2,050.80/2,832.96 = 1,829.64/x
  3. Step 3: Cross multiply
    2,050.80x = 2,832.96 × 1,829.64
  4. Step 4: Simplify right side
    2,050.80x = 5,183,296.93
  5. Step 5: Solve for x
    x = 5,183,296.93/2,050.80
  6. Step 6: Final answer
    x = 2,527.45

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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.