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Finding the Fourth Proportional to 1,941.15, 2,910.26 and 967.94

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Solution

The fourth proportional to 1,941.15, 2,910.26 and 967.94 is: 1,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.15 : 2,910.26 = 967.94 : x
  2. Step 2: Convert to fraction form
    1,941.15/2,910.26 = 967.94/x
  3. Step 3: Cross multiply
    1,941.15x = 2,910.26 × 967.94
  4. Step 4: Simplify right side
    1,941.15x = 2,816,937.67
  5. Step 5: Solve for x
    x = 2,816,937.67/1,941.15
  6. Step 6: Final answer
    x = 1,451.17

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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.