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Finding the Fourth Proportional to 1,692.70, 2,536.32 and 1,042.06

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Solution

The fourth proportional to 1,692.70, 2,536.32 and 1,042.06 is: 1,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.70 : 2,536.32 = 1,042.06 : x
  2. Step 2: Convert to fraction form
    1,692.70/2,536.32 = 1,042.06/x
  3. Step 3: Cross multiply
    1,692.70x = 2,536.32 × 1,042.06
  4. Step 4: Simplify right side
    1,692.70x = 2,642,997.62
  5. Step 5: Solve for x
    x = 2,642,997.62/1,692.70
  6. Step 6: Final answer
    x = 1,561.41

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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.