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Finding the Fourth Proportional to 2,553.12, 3,520.80 and 2,134.08

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Solution

The fourth proportional to 2,553.12, 3,520.80 and 2,134.08 is: 2,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.12 : 3,520.80 = 2,134.08 : x
  2. Step 2: Convert to fraction form
    2,553.12/3,520.80 = 2,134.08/x
  3. Step 3: Cross multiply
    2,553.12x = 3,520.80 × 2,134.08
  4. Step 4: Simplify right side
    2,553.12x = 7,513,668.86
  5. Step 5: Solve for x
    x = 7,513,668.86/2,553.12
  6. Step 6: Final answer
    x = 2,942.94

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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.