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Finding the Fourth Proportional to 2,943.64, 4,412.73 and 2,391.42

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Solution

The fourth proportional to 2,943.64, 4,412.73 and 2,391.42 is: 3,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.64 : 4,412.73 = 2,391.42 : x
  2. Step 2: Convert to fraction form
    2,943.64/4,412.73 = 2,391.42/x
  3. Step 3: Cross multiply
    2,943.64x = 4,412.73 × 2,391.42
  4. Step 4: Simplify right side
    2,943.64x = 10,552,702.84
  5. Step 5: Solve for x
    x = 10,552,702.84/2,943.64
  6. Step 6: Final answer
    x = 3,584.91

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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.