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Finding the Fourth Proportional to 1,692.40, 2,538.20 and 459.85

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Solution

The fourth proportional to 1,692.40, 2,538.20 and 459.85 is: 689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.40 : 2,538.20 = 459.85 : x
  2. Step 2: Convert to fraction form
    1,692.40/2,538.20 = 459.85/x
  3. Step 3: Cross multiply
    1,692.40x = 2,538.20 × 459.85
  4. Step 4: Simplify right side
    1,692.40x = 1,167,191.27
  5. Step 5: Solve for x
    x = 1,167,191.27/1,692.40
  6. Step 6: Final answer
    x = 689.67

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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.