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Finding the Fourth Proportional to 1,800.20, 2,694.90 and 1,693.40

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Solution

The fourth proportional to 1,800.20, 2,694.90 and 1,693.40 is: 2,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.20 : 2,694.90 = 1,693.40 : x
  2. Step 2: Convert to fraction form
    1,800.20/2,694.90 = 1,693.40/x
  3. Step 3: Cross multiply
    1,800.20x = 2,694.90 × 1,693.40
  4. Step 4: Simplify right side
    1,800.20x = 4,563,543.66
  5. Step 5: Solve for x
    x = 4,563,543.66/1,800.20
  6. Step 6: Final answer
    x = 2,535.02

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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.