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Finding the Fourth Proportional to 1,805.40, 2,703.78 and 1,226.52

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Solution

The fourth proportional to 1,805.40, 2,703.78 and 1,226.52 is: 1,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.40 : 2,703.78 = 1,226.52 : x
  2. Step 2: Convert to fraction form
    1,805.40/2,703.78 = 1,226.52/x
  3. Step 3: Cross multiply
    1,805.40x = 2,703.78 × 1,226.52
  4. Step 4: Simplify right side
    1,805.40x = 3,316,240.25
  5. Step 5: Solve for x
    x = 3,316,240.25/1,805.40
  6. Step 6: Final answer
    x = 1,836.85

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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.