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Finding the Fourth Proportional to 1,369.67, 2,053.89 and 849.65

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Solution

The fourth proportional to 1,369.67, 2,053.89 and 849.65 is: 1,274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.67 : 2,053.89 = 849.65 : x
  2. Step 2: Convert to fraction form
    1,369.67/2,053.89 = 849.65/x
  3. Step 3: Cross multiply
    1,369.67x = 2,053.89 × 849.65
  4. Step 4: Simplify right side
    1,369.67x = 1,745,074.18
  5. Step 5: Solve for x
    x = 1,745,074.18/1,369.67
  6. Step 6: Final answer
    x = 1,274.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.