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Finding the Fourth Proportional to 2,352.97, 3,527.18 and 1,120.05

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Solution

The fourth proportional to 2,352.97, 3,527.18 and 1,120.05 is: 1,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.97 : 3,527.18 = 1,120.05 : x
  2. Step 2: Convert to fraction form
    2,352.97/3,527.18 = 1,120.05/x
  3. Step 3: Cross multiply
    2,352.97x = 3,527.18 × 1,120.05
  4. Step 4: Simplify right side
    2,352.97x = 3,950,617.96
  5. Step 5: Solve for x
    x = 3,950,617.96/2,352.97
  6. Step 6: Final answer
    x = 1,678.99

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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.