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Finding the Fourth Proportional to 1,692.04, 2,538.08 and 459.57

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Solution

The fourth proportional to 1,692.04, 2,538.08 and 459.57 is: 689.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.04 : 2,538.08 = 459.57 : x
  2. Step 2: Convert to fraction form
    1,692.04/2,538.08 = 459.57/x
  3. Step 3: Cross multiply
    1,692.04x = 2,538.08 × 459.57
  4. Step 4: Simplify right side
    1,692.04x = 1,166,436.95
  5. Step 5: Solve for x
    x = 1,166,436.95/1,692.04
  6. Step 6: Final answer
    x = 689.37

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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.