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Finding the Fourth Proportional to 1,942.29, 2,913.38 and 847.44

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Solution

The fourth proportional to 1,942.29, 2,913.38 and 847.44 is: 1,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.29 : 2,913.38 = 847.44 : x
  2. Step 2: Convert to fraction form
    1,942.29/2,913.38 = 847.44/x
  3. Step 3: Cross multiply
    1,942.29x = 2,913.38 × 847.44
  4. Step 4: Simplify right side
    1,942.29x = 2,468,914.75
  5. Step 5: Solve for x
    x = 2,468,914.75/1,942.29
  6. Step 6: Final answer
    x = 1,271.14

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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.