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Finding the Fourth Proportional to 1,692.90, 2,539.47 and 460.16

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Solution

The fourth proportional to 1,692.90, 2,539.47 and 460.16 is: 690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.90 : 2,539.47 = 460.16 : x
  2. Step 2: Convert to fraction form
    1,692.90/2,539.47 = 460.16/x
  3. Step 3: Cross multiply
    1,692.90x = 2,539.47 × 460.16
  4. Step 4: Simplify right side
    1,692.90x = 1,168,549.82
  5. Step 5: Solve for x
    x = 1,168,549.82/1,692.90
  6. Step 6: Final answer
    x = 690.27

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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.