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Finding the Fourth Proportional to 1,942.35, 2,680.07 and 1,156.65

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Solution

The fourth proportional to 1,942.35, 2,680.07 and 1,156.65 is: 1,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.35 : 2,680.07 = 1,156.65 : x
  2. Step 2: Convert to fraction form
    1,942.35/2,680.07 = 1,156.65/x
  3. Step 3: Cross multiply
    1,942.35x = 2,680.07 × 1,156.65
  4. Step 4: Simplify right side
    1,942.35x = 3,099,897.18
  5. Step 5: Solve for x
    x = 3,099,897.18/1,942.35
  6. Step 6: Final answer
    x = 1,595.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.