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Finding the Fourth Proportional to 1,834.70, 2,753.40 and 1,218.20

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Solution

The fourth proportional to 1,834.70, 2,753.40 and 1,218.20 is: 1,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.70 : 2,753.40 = 1,218.20 : x
  2. Step 2: Convert to fraction form
    1,834.70/2,753.40 = 1,218.20/x
  3. Step 3: Cross multiply
    1,834.70x = 2,753.40 × 1,218.20
  4. Step 4: Simplify right side
    1,834.70x = 3,354,191.88
  5. Step 5: Solve for x
    x = 3,354,191.88/1,834.70
  6. Step 6: Final answer
    x = 1,828.20

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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.