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Finding the Fourth Proportional to 2,109.80, 3,163.08 and 1,068.96

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Solution

The fourth proportional to 2,109.80, 3,163.08 and 1,068.96 is: 1,602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.80 : 3,163.08 = 1,068.96 : x
  2. Step 2: Convert to fraction form
    2,109.80/3,163.08 = 1,068.96/x
  3. Step 3: Cross multiply
    2,109.80x = 3,163.08 × 1,068.96
  4. Step 4: Simplify right side
    2,109.80x = 3,381,206.00
  5. Step 5: Solve for x
    x = 3,381,206.00/2,109.80
  6. Step 6: Final answer
    x = 1,602.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.