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Finding the Fourth Proportional to 1,922.08, 2,881.46 and 767.08

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Solution

The fourth proportional to 1,922.08, 2,881.46 and 767.08 is: 1,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.08 : 2,881.46 = 767.08 : x
  2. Step 2: Convert to fraction form
    1,922.08/2,881.46 = 767.08/x
  3. Step 3: Cross multiply
    1,922.08x = 2,881.46 × 767.08
  4. Step 4: Simplify right side
    1,922.08x = 2,210,310.34
  5. Step 5: Solve for x
    x = 2,210,310.34/1,922.08
  6. Step 6: Final answer
    x = 1,149.96

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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.