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Finding the Fourth Proportional to 1,942.65, 2,914.31 and 772.67

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Solution

The fourth proportional to 1,942.65, 2,914.31 and 772.67 is: 1,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.65 : 2,914.31 = 772.67 : x
  2. Step 2: Convert to fraction form
    1,942.65/2,914.31 = 772.67/x
  3. Step 3: Cross multiply
    1,942.65x = 2,914.31 × 772.67
  4. Step 4: Simplify right side
    1,942.65x = 2,251,781.47
  5. Step 5: Solve for x
    x = 2,251,781.47/1,942.65
  6. Step 6: Final answer
    x = 1,159.13

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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.