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Finding the Fourth Proportional to 2,905.80, 4,006.12 and 2,310.27

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Solution

The fourth proportional to 2,905.80, 4,006.12 and 2,310.27 is: 3,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.80 : 4,006.12 = 2,310.27 : x
  2. Step 2: Convert to fraction form
    2,905.80/4,006.12 = 2,310.27/x
  3. Step 3: Cross multiply
    2,905.80x = 4,006.12 × 2,310.27
  4. Step 4: Simplify right side
    2,905.80x = 9,255,218.85
  5. Step 5: Solve for x
    x = 9,255,218.85/2,905.80
  6. Step 6: Final answer
    x = 3,185.08

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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.