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Finding the Fourth Proportional to 2,384.98, 3,577.48 and 1,086.54

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Solution

The fourth proportional to 2,384.98, 3,577.48 and 1,086.54 is: 1,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.98 : 3,577.48 = 1,086.54 : x
  2. Step 2: Convert to fraction form
    2,384.98/3,577.48 = 1,086.54/x
  3. Step 3: Cross multiply
    2,384.98x = 3,577.48 × 1,086.54
  4. Step 4: Simplify right side
    2,384.98x = 3,887,075.12
  5. Step 5: Solve for x
    x = 3,887,075.12/2,384.98
  6. Step 6: Final answer
    x = 1,629.81

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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.