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Finding the Fourth Proportional to 2,344.79, 3,234.79 and 1,412.75

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Solution

The fourth proportional to 2,344.79, 3,234.79 and 1,412.75 is: 1,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.79 : 3,234.79 = 1,412.75 : x
  2. Step 2: Convert to fraction form
    2,344.79/3,234.79 = 1,412.75/x
  3. Step 3: Cross multiply
    2,344.79x = 3,234.79 × 1,412.75
  4. Step 4: Simplify right side
    2,344.79x = 4,569,949.57
  5. Step 5: Solve for x
    x = 4,569,949.57/2,344.79
  6. Step 6: Final answer
    x = 1,948.98

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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.