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Finding the Fourth Proportional to 2,821.82, 4,233.60 and 1,263.14

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Solution

The fourth proportional to 2,821.82, 4,233.60 and 1,263.14 is: 1,895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.82 : 4,233.60 = 1,263.14 : x
  2. Step 2: Convert to fraction form
    2,821.82/4,233.60 = 1,263.14/x
  3. Step 3: Cross multiply
    2,821.82x = 4,233.60 × 1,263.14
  4. Step 4: Simplify right side
    2,821.82x = 5,347,602.02
  5. Step 5: Solve for x
    x = 5,347,602.02/2,821.82
  6. Step 6: Final answer
    x = 1,895.09

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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.