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Finding the Fourth Proportional to 1,911.66, 2,868.57 and 815.94

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Solution

The fourth proportional to 1,911.66, 2,868.57 and 815.94 is: 1,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.66 : 2,868.57 = 815.94 : x
  2. Step 2: Convert to fraction form
    1,911.66/2,868.57 = 815.94/x
  3. Step 3: Cross multiply
    1,911.66x = 2,868.57 × 815.94
  4. Step 4: Simplify right side
    1,911.66x = 2,340,581.01
  5. Step 5: Solve for x
    x = 2,340,581.01/1,911.66
  6. Step 6: Final answer
    x = 1,224.37

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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.