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Finding the Fourth Proportional to 1,654.27, 2,285.27 and 1,322.26

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Solution

The fourth proportional to 1,654.27, 2,285.27 and 1,322.26 is: 1,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.27 : 2,285.27 = 1,322.26 : x
  2. Step 2: Convert to fraction form
    1,654.27/2,285.27 = 1,322.26/x
  3. Step 3: Cross multiply
    1,654.27x = 2,285.27 × 1,322.26
  4. Step 4: Simplify right side
    1,654.27x = 3,021,721.11
  5. Step 5: Solve for x
    x = 3,021,721.11/1,654.27
  6. Step 6: Final answer
    x = 1,826.62

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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.