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Finding the Fourth Proportional to 1,806.50, 2,709.78 and 652.28

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Solution

The fourth proportional to 1,806.50, 2,709.78 and 652.28 is: 978.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.50 : 2,709.78 = 652.28 : x
  2. Step 2: Convert to fraction form
    1,806.50/2,709.78 = 652.28/x
  3. Step 3: Cross multiply
    1,806.50x = 2,709.78 × 652.28
  4. Step 4: Simplify right side
    1,806.50x = 1,767,535.30
  5. Step 5: Solve for x
    x = 1,767,535.30/1,806.50
  6. Step 6: Final answer
    x = 978.43

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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.