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Finding the Fourth Proportional to 2,108.94, 3,161.58 and 1,068.12

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Solution

The fourth proportional to 2,108.94, 3,161.58 and 1,068.12 is: 1,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.94 : 3,161.58 = 1,068.12 : x
  2. Step 2: Convert to fraction form
    2,108.94/3,161.58 = 1,068.12/x
  3. Step 3: Cross multiply
    2,108.94x = 3,161.58 × 1,068.12
  4. Step 4: Simplify right side
    2,108.94x = 3,376,946.83
  5. Step 5: Solve for x
    x = 3,376,946.83/2,108.94
  6. Step 6: Final answer
    x = 1,601.25

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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.