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Finding the Fourth Proportional to 1,691, 2,536.98 and 536.78

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Solution

The fourth proportional to 1,691, 2,536.98 and 536.78 is: 805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691 : 2,536.98 = 536.78 : x
  2. Step 2: Convert to fraction form
    1,691/2,536.98 = 536.78/x
  3. Step 3: Cross multiply
    1,691x = 2,536.98 × 536.78
  4. Step 4: Simplify right side
    1,691x = 1,361,800.12
  5. Step 5: Solve for x
    x = 1,361,800.12/1,691
  6. Step 6: Final answer
    x = 805.32

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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.