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Finding the Fourth Proportional to 1,806.82, 2,710.26 and 652.54

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Solution

The fourth proportional to 1,806.82, 2,710.26 and 652.54 is: 978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.82 : 2,710.26 = 652.54 : x
  2. Step 2: Convert to fraction form
    1,806.82/2,710.26 = 652.54/x
  3. Step 3: Cross multiply
    1,806.82x = 2,710.26 × 652.54
  4. Step 4: Simplify right side
    1,806.82x = 1,768,553.06
  5. Step 5: Solve for x
    x = 1,768,553.06/1,806.82
  6. Step 6: Final answer
    x = 978.82

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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.