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Finding the Fourth Proportional to 1,654.52, 2,285.61 and 1,322.51

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Solution

The fourth proportional to 1,654.52, 2,285.61 and 1,322.51 is: 1,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.52 : 2,285.61 = 1,322.51 : x
  2. Step 2: Convert to fraction form
    1,654.52/2,285.61 = 1,322.51/x
  3. Step 3: Cross multiply
    1,654.52x = 2,285.61 × 1,322.51
  4. Step 4: Simplify right side
    1,654.52x = 3,022,742.08
  5. Step 5: Solve for x
    x = 3,022,742.08/1,654.52
  6. Step 6: Final answer
    x = 1,826.96

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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.