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Finding the Fourth Proportional to 1,654.02, 2,284.92 and 1,322.01

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Solution

The fourth proportional to 1,654.02, 2,284.92 and 1,322.01 is: 1,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.02 : 2,284.92 = 1,322.01 : x
  2. Step 2: Convert to fraction form
    1,654.02/2,284.92 = 1,322.01/x
  3. Step 3: Cross multiply
    1,654.02x = 2,284.92 × 1,322.01
  4. Step 4: Simplify right side
    1,654.02x = 3,020,687.09
  5. Step 5: Solve for x
    x = 3,020,687.09/1,654.02
  6. Step 6: Final answer
    x = 1,826.27

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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.