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Finding the Fourth Proportional to 1,381.96, 2,072.94 and 1,137.97

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Solution

The fourth proportional to 1,381.96, 2,072.94 and 1,137.97 is: 1,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.96 : 2,072.94 = 1,137.97 : x
  2. Step 2: Convert to fraction form
    1,381.96/2,072.94 = 1,137.97/x
  3. Step 3: Cross multiply
    1,381.96x = 2,072.94 × 1,137.97
  4. Step 4: Simplify right side
    1,381.96x = 2,358,934.08
  5. Step 5: Solve for x
    x = 2,358,934.08/1,381.96
  6. Step 6: Final answer
    x = 1,706.95

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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.