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Finding the Fourth Proportional to 3,005.86, 4,148.00 and 1,661.44

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Solution

The fourth proportional to 3,005.86, 4,148.00 and 1,661.44 is: 2,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.86 : 4,148.00 = 1,661.44 : x
  2. Step 2: Convert to fraction form
    3,005.86/4,148.00 = 1,661.44/x
  3. Step 3: Cross multiply
    3,005.86x = 4,148.00 × 1,661.44
  4. Step 4: Simplify right side
    3,005.86x = 6,891,634.45
  5. Step 5: Solve for x
    x = 6,891,634.45/3,005.86
  6. Step 6: Final answer
    x = 2,292.73

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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.