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Finding the Fourth Proportional to 2,045.40, 3,065.40 and 1,813.20

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Solution

The fourth proportional to 2,045.40, 3,065.40 and 1,813.20 is: 2,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.40 : 3,065.40 = 1,813.20 : x
  2. Step 2: Convert to fraction form
    2,045.40/3,065.40 = 1,813.20/x
  3. Step 3: Cross multiply
    2,045.40x = 3,065.40 × 1,813.20
  4. Step 4: Simplify right side
    2,045.40x = 5,558,183.28
  5. Step 5: Solve for x
    x = 5,558,183.28/2,045.40
  6. Step 6: Final answer
    x = 2,717.41

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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.