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Finding the Fourth Proportional to 2,384.94, 3,577.68 and 1,086.24

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Solution

The fourth proportional to 2,384.94, 3,577.68 and 1,086.24 is: 1,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.94 : 3,577.68 = 1,086.24 : x
  2. Step 2: Convert to fraction form
    2,384.94/3,577.68 = 1,086.24/x
  3. Step 3: Cross multiply
    2,384.94x = 3,577.68 × 1,086.24
  4. Step 4: Simplify right side
    2,384.94x = 3,886,219.12
  5. Step 5: Solve for x
    x = 3,886,219.12/2,384.94
  6. Step 6: Final answer
    x = 1,629.48

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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.