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Finding the Fourth Proportional to 2,652.22, 3,659.79 and 1,473.16

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Solution

The fourth proportional to 2,652.22, 3,659.79 and 1,473.16 is: 2,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.22 : 3,659.79 = 1,473.16 : x
  2. Step 2: Convert to fraction form
    2,652.22/3,659.79 = 1,473.16/x
  3. Step 3: Cross multiply
    2,652.22x = 3,659.79 × 1,473.16
  4. Step 4: Simplify right side
    2,652.22x = 5,391,456.24
  5. Step 5: Solve for x
    x = 5,391,456.24/2,652.22
  6. Step 6: Final answer
    x = 2,032.81

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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.