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Finding the Fourth Proportional to 2,654.43, 3,660.96 and 1,857.45

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Solution

The fourth proportional to 2,654.43, 3,660.96 and 1,857.45 is: 2,561.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.43 : 3,660.96 = 1,857.45 : x
  2. Step 2: Convert to fraction form
    2,654.43/3,660.96 = 1,857.45/x
  3. Step 3: Cross multiply
    2,654.43x = 3,660.96 × 1,857.45
  4. Step 4: Simplify right side
    2,654.43x = 6,800,050.15
  5. Step 5: Solve for x
    x = 6,800,050.15/2,654.43
  6. Step 6: Final answer
    x = 2,561.77

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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.