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Finding the Fourth Proportional to 1,692.27, 2,537.89 and 652.19

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Solution

The fourth proportional to 1,692.27, 2,537.89 and 652.19 is: 978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.27 : 2,537.89 = 652.19 : x
  2. Step 2: Convert to fraction form
    1,692.27/2,537.89 = 652.19/x
  3. Step 3: Cross multiply
    1,692.27x = 2,537.89 × 652.19
  4. Step 4: Simplify right side
    1,692.27x = 1,655,181.68
  5. Step 5: Solve for x
    x = 1,655,181.68/1,692.27
  6. Step 6: Final answer
    x = 978.09

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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.