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Finding the Fourth Proportional to 2,655.82, 3,664.74 and 1,608.04

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Solution

The fourth proportional to 2,655.82, 3,664.74 and 1,608.04 is: 2,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.82 : 3,664.74 = 1,608.04 : x
  2. Step 2: Convert to fraction form
    2,655.82/3,664.74 = 1,608.04/x
  3. Step 3: Cross multiply
    2,655.82x = 3,664.74 × 1,608.04
  4. Step 4: Simplify right side
    2,655.82x = 5,893,048.51
  5. Step 5: Solve for x
    x = 5,893,048.51/2,655.82
  6. Step 6: Final answer
    x = 2,218.92

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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.