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Finding the Fourth Proportional to 2,910.75, 4,016.82 and 1,584.46

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Solution

The fourth proportional to 2,910.75, 4,016.82 and 1,584.46 is: 2,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.75 : 4,016.82 = 1,584.46 : x
  2. Step 2: Convert to fraction form
    2,910.75/4,016.82 = 1,584.46/x
  3. Step 3: Cross multiply
    2,910.75x = 4,016.82 × 1,584.46
  4. Step 4: Simplify right side
    2,910.75x = 6,364,470.07
  5. Step 5: Solve for x
    x = 6,364,470.07/2,910.75
  6. Step 6: Final answer
    x = 2,186.54

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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.