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Finding the Fourth Proportional to 3,005.82, 4,148.02 and 1,661.43

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Solution

The fourth proportional to 3,005.82, 4,148.02 and 1,661.43 is: 2,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.82 : 4,148.02 = 1,661.43 : x
  2. Step 2: Convert to fraction form
    3,005.82/4,148.02 = 1,661.43/x
  3. Step 3: Cross multiply
    3,005.82x = 4,148.02 × 1,661.43
  4. Step 4: Simplify right side
    3,005.82x = 6,891,662.50
  5. Step 5: Solve for x
    x = 6,891,662.50/3,005.82
  6. Step 6: Final answer
    x = 2,292.77

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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.