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Finding the Fourth Proportional to 1,960.88, 2,941.32 and 1,235.12

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Solution

The fourth proportional to 1,960.88, 2,941.32 and 1,235.12 is: 1,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.88 : 2,941.32 = 1,235.12 : x
  2. Step 2: Convert to fraction form
    1,960.88/2,941.32 = 1,235.12/x
  3. Step 3: Cross multiply
    1,960.88x = 2,941.32 × 1,235.12
  4. Step 4: Simplify right side
    1,960.88x = 3,632,883.16
  5. Step 5: Solve for x
    x = 3,632,883.16/1,960.88
  6. Step 6: Final answer
    x = 1,852.68

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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.