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Finding the Fourth Proportional to 2,394.75, 3,592.05 and 1,306.02

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Solution

The fourth proportional to 2,394.75, 3,592.05 and 1,306.02 is: 1,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.75 : 3,592.05 = 1,306.02 : x
  2. Step 2: Convert to fraction form
    2,394.75/3,592.05 = 1,306.02/x
  3. Step 3: Cross multiply
    2,394.75x = 3,592.05 × 1,306.02
  4. Step 4: Simplify right side
    2,394.75x = 4,691,289.14
  5. Step 5: Solve for x
    x = 4,691,289.14/2,394.75
  6. Step 6: Final answer
    x = 1,958.99

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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.