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Finding the Fourth Proportional to 2,283.42, 3,151.13 and 1,235.49

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Solution

The fourth proportional to 2,283.42, 3,151.13 and 1,235.49 is: 1,704.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.42 : 3,151.13 = 1,235.49 : x
  2. Step 2: Convert to fraction form
    2,283.42/3,151.13 = 1,235.49/x
  3. Step 3: Cross multiply
    2,283.42x = 3,151.13 × 1,235.49
  4. Step 4: Simplify right side
    2,283.42x = 3,893,183.43
  5. Step 5: Solve for x
    x = 3,893,183.43/2,283.42
  6. Step 6: Final answer
    x = 1,704.98

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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.