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Finding the Fourth Proportional to 1,853.78, 2,780.69 and 757.38

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Solution

The fourth proportional to 1,853.78, 2,780.69 and 757.38 is: 1,136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.78 : 2,780.69 = 757.38 : x
  2. Step 2: Convert to fraction form
    1,853.78/2,780.69 = 757.38/x
  3. Step 3: Cross multiply
    1,853.78x = 2,780.69 × 757.38
  4. Step 4: Simplify right side
    1,853.78x = 2,106,035.21
  5. Step 5: Solve for x
    x = 2,106,035.21/1,853.78
  6. Step 6: Final answer
    x = 1,136.07

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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.