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Finding the Fourth Proportional to 2,356.84, 3,536.89 and 817.84

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Solution

The fourth proportional to 2,356.84, 3,536.89 and 817.84 is: 1,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.84 : 3,536.89 = 817.84 : x
  2. Step 2: Convert to fraction form
    2,356.84/3,536.89 = 817.84/x
  3. Step 3: Cross multiply
    2,356.84x = 3,536.89 × 817.84
  4. Step 4: Simplify right side
    2,356.84x = 2,892,610.12
  5. Step 5: Solve for x
    x = 2,892,610.12/2,356.84
  6. Step 6: Final answer
    x = 1,227.33

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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.