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Finding the Fourth Proportional to 2,108.80, 3,165.90 and 1,122.40

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Solution

The fourth proportional to 2,108.80, 3,165.90 and 1,122.40 is: 1,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.80 : 3,165.90 = 1,122.40 : x
  2. Step 2: Convert to fraction form
    2,108.80/3,165.90 = 1,122.40/x
  3. Step 3: Cross multiply
    2,108.80x = 3,165.90 × 1,122.40
  4. Step 4: Simplify right side
    2,108.80x = 3,553,406.16
  5. Step 5: Solve for x
    x = 3,553,406.16/2,108.80
  6. Step 6: Final answer
    x = 1,685.04

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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.