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Finding the Fourth Proportional to 1,692.46, 2,538.92 and 522.55

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Solution

The fourth proportional to 1,692.46, 2,538.92 and 522.55 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.46 : 2,538.92 = 522.55 : x
  2. Step 2: Convert to fraction form
    1,692.46/2,538.92 = 522.55/x
  3. Step 3: Cross multiply
    1,692.46x = 2,538.92 × 522.55
  4. Step 4: Simplify right side
    1,692.46x = 1,326,725.00
  5. Step 5: Solve for x
    x = 1,326,725.00/1,692.46
  6. Step 6: Final answer
    x = 783.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.