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Finding the Fourth Proportional to 2,536.06, 3,805.62 and 893.83

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Solution

The fourth proportional to 2,536.06, 3,805.62 and 893.83 is: 1,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.06 : 3,805.62 = 893.83 : x
  2. Step 2: Convert to fraction form
    2,536.06/3,805.62 = 893.83/x
  3. Step 3: Cross multiply
    2,536.06x = 3,805.62 × 893.83
  4. Step 4: Simplify right side
    2,536.06x = 3,401,577.32
  5. Step 5: Solve for x
    x = 3,401,577.32/2,536.06
  6. Step 6: Final answer
    x = 1,341.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.