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Finding the Fourth Proportional to 2,910.32, 4,016.22 and 1,584.05

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Solution

The fourth proportional to 2,910.32, 4,016.22 and 1,584.05 is: 2,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.32 : 4,016.22 = 1,584.05 : x
  2. Step 2: Convert to fraction form
    2,910.32/4,016.22 = 1,584.05/x
  3. Step 3: Cross multiply
    2,910.32x = 4,016.22 × 1,584.05
  4. Step 4: Simplify right side
    2,910.32x = 6,361,891.93
  5. Step 5: Solve for x
    x = 6,361,891.93/2,910.32
  6. Step 6: Final answer
    x = 2,185.98

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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.