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Finding the Fourth Proportional to 2,052.96, 2,833.76 and 1,634.08

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Solution

The fourth proportional to 2,052.96, 2,833.76 and 1,634.08 is: 2,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.96 : 2,833.76 = 1,634.08 : x
  2. Step 2: Convert to fraction form
    2,052.96/2,833.76 = 1,634.08/x
  3. Step 3: Cross multiply
    2,052.96x = 2,833.76 × 1,634.08
  4. Step 4: Simplify right side
    2,052.96x = 4,630,590.54
  5. Step 5: Solve for x
    x = 4,630,590.54/2,052.96
  6. Step 6: Final answer
    x = 2,255.57

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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.