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Finding the Fourth Proportional to 2,108.18, 3,164.18 and 1,068.90

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Solution

The fourth proportional to 2,108.18, 3,164.18 and 1,068.90 is: 1,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.18 : 3,164.18 = 1,068.90 : x
  2. Step 2: Convert to fraction form
    2,108.18/3,164.18 = 1,068.90/x
  3. Step 3: Cross multiply
    2,108.18x = 3,164.18 × 1,068.90
  4. Step 4: Simplify right side
    2,108.18x = 3,382,186.66
  5. Step 5: Solve for x
    x = 3,382,186.66/2,108.18
  6. Step 6: Final answer
    x = 1,604.32

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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.