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Finding the Fourth Proportional to 2,416.75, 3,335.43 and 1,422.12

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Solution

The fourth proportional to 2,416.75, 3,335.43 and 1,422.12 is: 1,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.75 : 3,335.43 = 1,422.12 : x
  2. Step 2: Convert to fraction form
    2,416.75/3,335.43 = 1,422.12/x
  3. Step 3: Cross multiply
    2,416.75x = 3,335.43 × 1,422.12
  4. Step 4: Simplify right side
    2,416.75x = 4,743,391.55
  5. Step 5: Solve for x
    x = 4,743,391.55/2,416.75
  6. Step 6: Final answer
    x = 1,962.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.