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Finding the Fourth Proportional to 1,942.69, 2,914.49 and 644.16

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Solution

The fourth proportional to 1,942.69, 2,914.49 and 644.16 is: 966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.69 : 2,914.49 = 644.16 : x
  2. Step 2: Convert to fraction form
    1,942.69/2,914.49 = 644.16/x
  3. Step 3: Cross multiply
    1,942.69x = 2,914.49 × 644.16
  4. Step 4: Simplify right side
    1,942.69x = 1,877,386.14
  5. Step 5: Solve for x
    x = 1,877,386.14/1,942.69
  6. Step 6: Final answer
    x = 966.39

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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.