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Finding the Fourth Proportional to 1,692.19, 2,538.40 and 522.30

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Solution

The fourth proportional to 1,692.19, 2,538.40 and 522.30 is: 783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.19 : 2,538.40 = 522.30 : x
  2. Step 2: Convert to fraction form
    1,692.19/2,538.40 = 522.30/x
  3. Step 3: Cross multiply
    1,692.19x = 2,538.40 × 522.30
  4. Step 4: Simplify right side
    1,692.19x = 1,325,801.97
  5. Step 5: Solve for x
    x = 1,325,801.97/1,692.19
  6. Step 6: Final answer
    x = 783.48

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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.