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Finding the Fourth Proportional to 2,306.42, 3,458.42 and 1,383.02

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Solution

The fourth proportional to 2,306.42, 3,458.42 and 1,383.02 is: 2,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.42 : 3,458.42 = 1,383.02 : x
  2. Step 2: Convert to fraction form
    2,306.42/3,458.42 = 1,383.02/x
  3. Step 3: Cross multiply
    2,306.42x = 3,458.42 × 1,383.02
  4. Step 4: Simplify right side
    2,306.42x = 4,783,064.03
  5. Step 5: Solve for x
    x = 4,783,064.03/2,306.42
  6. Step 6: Final answer
    x = 2,073.80

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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.