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Finding the Fourth Proportional to 1,911.65, 2,866.80 and 679.10

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Solution

The fourth proportional to 1,911.65, 2,866.80 and 679.10 is: 1,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.65 : 2,866.80 = 679.10 : x
  2. Step 2: Convert to fraction form
    1,911.65/2,866.80 = 679.10/x
  3. Step 3: Cross multiply
    1,911.65x = 2,866.80 × 679.10
  4. Step 4: Simplify right side
    1,911.65x = 1,946,843.88
  5. Step 5: Solve for x
    x = 1,946,843.88/1,911.65
  6. Step 6: Final answer
    x = 1,018.41

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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.