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Finding the Fourth Proportional to 1,692.67, 2,539.01 and 460.21

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Solution

The fourth proportional to 1,692.67, 2,539.01 and 460.21 is: 690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.67 : 2,539.01 = 460.21 : x
  2. Step 2: Convert to fraction form
    1,692.67/2,539.01 = 460.21/x
  3. Step 3: Cross multiply
    1,692.67x = 2,539.01 × 460.21
  4. Step 4: Simplify right side
    1,692.67x = 1,168,477.79
  5. Step 5: Solve for x
    x = 1,168,477.79/1,692.67
  6. Step 6: Final answer
    x = 690.32

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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.