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Finding the Fourth Proportional to 2,910.94, 4,017.12 and 1,584.66

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Solution

The fourth proportional to 2,910.94, 4,017.12 and 1,584.66 is: 2,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.94 : 4,017.12 = 1,584.66 : x
  2. Step 2: Convert to fraction form
    2,910.94/4,017.12 = 1,584.66/x
  3. Step 3: Cross multiply
    2,910.94x = 4,017.12 × 1,584.66
  4. Step 4: Simplify right side
    2,910.94x = 6,365,769.38
  5. Step 5: Solve for x
    x = 6,365,769.38/2,910.94
  6. Step 6: Final answer
    x = 2,186.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.