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Finding the Fourth Proportional to 2,824.54, 4,234.38 and 1,364.71

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Solution

The fourth proportional to 2,824.54, 4,234.38 and 1,364.71 is: 2,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.54 : 4,234.38 = 1,364.71 : x
  2. Step 2: Convert to fraction form
    2,824.54/4,234.38 = 1,364.71/x
  3. Step 3: Cross multiply
    2,824.54x = 4,234.38 × 1,364.71
  4. Step 4: Simplify right side
    2,824.54x = 5,778,700.73
  5. Step 5: Solve for x
    x = 5,778,700.73/2,824.54
  6. Step 6: Final answer
    x = 2,045.89

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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.