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Finding the Fourth Proportional to 2,109.70, 2,891.59 and 2,095.30

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Solution

The fourth proportional to 2,109.70, 2,891.59 and 2,095.30 is: 2,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.70 : 2,891.59 = 2,095.30 : x
  2. Step 2: Convert to fraction form
    2,109.70/2,891.59 = 2,095.30/x
  3. Step 3: Cross multiply
    2,109.70x = 2,891.59 × 2,095.30
  4. Step 4: Simplify right side
    2,109.70x = 6,058,738.05
  5. Step 5: Solve for x
    x = 6,058,738.05/2,109.70
  6. Step 6: Final answer
    x = 2,871.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.