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Finding the Fourth Proportional to 2,307, 3,183.90 and 1,422.78

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Solution

The fourth proportional to 2,307, 3,183.90 and 1,422.78 is: 1,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307 : 3,183.90 = 1,422.78 : x
  2. Step 2: Convert to fraction form
    2,307/3,183.90 = 1,422.78/x
  3. Step 3: Cross multiply
    2,307x = 3,183.90 × 1,422.78
  4. Step 4: Simplify right side
    2,307x = 4,529,989.24
  5. Step 5: Solve for x
    x = 4,529,989.24/2,307
  6. Step 6: Final answer
    x = 1,963.58

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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.